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1.

図書

図書
edited by Andrea Cappelli and Giuseppe Mussardo
出版情報: Dordrecht : Kluwer Academic, c2002  x, 351 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 73
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Preface
Integrable Models and Conformal Field Theories / Part I:
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet / Gesualdo Delfino
The ODE/IM Correspondence and PT-symmetric Quantum Mechanics / Patrick Dorey ; Clare Dunning ; Roberto Tateo
Coupled Models W D[superscript (p) subscript 3]: Their Fixed Points / Vladimir S. Dotsenko ; Xuan Son Nguyen ; Raoul Santachiara
The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration / Jesper Lykke Jacobsen ; Paul Zinn-Justin
On the Sine-Gordon One-Point Functions / Rubik H. Poghossian
On Vertex Operators and the Normalization of Form Factors / Yaroslav Pugai
Integrable Chain Models with Staggered R-matrices / Ara G. Sedrakyan
On the Quantization of Affine Jacobi Varieties of Spectral Curves / Fedor A. Smirnov ; Vadim Zeitlin
Rational Conformal Field Theory in Four Dimensions / Nikolay M. Nikolov ; Yassen S. Stanev ; Ivan T. Todorov
Perturbed Conformal Field Theory on a Sphere / Alexei B. Zamolodchikov
Integrable and Conformal Field Theories with Boudaries / Part II:
Two-boundary Integrability and the Josephson Current in a Luttinger Liquid / Jean-Sebastien Caux ; Hubert Saleur ; Francesco Siano
Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary / Pascal Baseilhac ; Gustav W. Delius ; Alan George
Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories / Vladimir A. Fateev
Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model / Marco Moriconi
Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory / Valentina B. Petkova ; Jean-Bernard Zuber
Open-String Models with Broken Supersymmetry / Augusto Sagnotti
Conformal Boundary Conditions and 3D Topological Field Theory / Jurgen Fuchs ; Ingo Runkel ; Christoph Schweigert
The Spectrum of Boundary Sine-Gordon Theory / Zoltan Bajnok ; Laszlo Palla ; Gabor Takacs
Disordered Systems / Part III:
A Classification of Non-Hermitian Random Matrices / Denis Bernard ; Andre LeClair
The Stress Tensor in Quenched Random Systems / John Cardy
Taking N to 0 with S Matrices / Paul Fendley
Scattering in Quantum Field Theories with Supergroup Invariance / Birgit Wehefritz-Kaufmann
Nishimori Point in Random-Bond Ising and Potts Models in 2D / Andreas Honecker ; Jesper L. Jacobsen ; Marco Picco ; Pierre Pujol
2D Random Dirac Fermions: Large N Approach / Didina Serban
Quantum Hall Effect and Condensed Matter Applications / Part IV:
Impurities in One Dimension / Sebastian Eggert
Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields / Jurg Frohlich ; Bill Pedrini
Paired and Clustered Quantum Hall States / Kareljan Schoutens ; Eddy Ardonne ; Frank J.M. van Lankvelt
Integrability and Conformal Symmetry in the BCS Model / German Sierra
Wavefunction Statistics at the Quantum Hall Critical Point / Alexei M. Tsvelik
Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems / Paul B. Wiegmann
Index
Preface
Integrable Models and Conformal Field Theories / Part I:
Field Theory of Scaling Lattice Models: The Potts Antiferromagnet / Gesualdo Delfino
2.

図書

図書
edited by Vadim Malyshev and Anatoly Vershik
出版情報: Dordrecht : Kluwer Academic, c2002  xv, 327 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 77
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Preface
Program
List of participants
Matrix Models and Graph Enumeration / Part 1:
Matrix Quantum Mechanics / V. Kazakov
Introduction to matrix models / E. Brezin
A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures / V. Buslaev ; L. Pastur
Combinatorics and Probability of Maps / V. A. Malyshev
The Combinatorics of Alternating Tangles: from theory to computerized enumeration / J. L. Jacobsen ; P. Zinn-Justin
Invariance Principles for Non-uniform Random Mappings and Trees / D. Aldous ; J. Pitman
Integrable Models (of Statistical Physics and Quantum Field Theory) / Part 2:
Renormalization group solution of fermionic Dyson model / M. D. Missarov
Statistical Mechanics and Number Theory / H. E. Boos ; V. E. Korepin
Quantization of Thermodynamics and the Bardeen-Cooper-Schriffer-Bogolyubov Equation / V. P. Maslov
Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D / D. S. Grebenkov
Representation Theory / Part 3:
Notes on homogeneous vector bundles over complex flag manifolds / S. Igonin
Representations Theory and Doubles of Yangians of Classical Lie Superalgebras / V. Stukopin
Idempotent (asymptotic) Mathematics and the Representation theory / G. L. Litvinov ; G. B. Shpiz
A new approach to Berezin kernels and canonical representations / G. van Dijk
Theta Hypergeometric Series / V. P. Spiridonov
Preface
Program
List of participants
3.

図書

図書
edited by Sergey Fomin
出版情報: Dordrecht : Kluwer Academic, c2002  xiii, 273 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 74
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Preface
List of contributors
List of invited NATO ASI participants
Notes on Macdonald polynomials and the geometry of Hilbert schemes / M. Haiman
The Laplacian method / P. Hanlon
Kerov's central limit theorem for the Plancherel measure on Young diagrams / V. Ivanov ; G. Olshanski
Symmetric functions and the Fock space / B. Leclerc
An introduction to birational Weyl group actions / M. Noumi
Symmetric functions and random partitions / A. Okounkov
From Littlewood-Richardson coefficients to cluster algebras in three lectures / A. Zelevinsky
Preface
List of contributors
List of invited NATO ASI participants
4.

図書

図書
editors Hajime Aoki, Tsukasa Tada
出版情報: Melville, N.Y. : American Institute of Physics, c2002  xiii, 366 p. ; 25 cm
シリーズ名: AIP conference proceedings ; no. 607
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Preface
Organizing Committee and Conference Staff
Papers Presented But Not Included in These Proceedings
Oral Presentations
Non-Abelian Structures in BSFT and RR Couplings / E. T. Akhmedov
2T-Physics 2001 / I. Bars
Covariant Quantization of the Superstring / N. Berkovits
The Power of Worldsheets: Applications and Prospects / S. Chaudhuri
M-Theory on Special Holonomy Spaces / M. Cvetic ; G. W. Gibbons ; H. Lu ; C. N. Pope
Open Wilson Lines and Closed Strings / A. Dhar
Noncommutative Geometry, Quantum Coherence, and Skyrmions in Multilayer Quantum Hall Systems / Z. F. Ezawa
Finite-N Conformality and Gauge Coupling Unification / P. H. Frampton
Closing Remarks / K. Fujikawa
Strings in Nontrivial Gravitino and Ramond-Ramond Backgrounds / I. Giannakis
Stable Black Strings in Anti-de Sitter Space / T. Hirayama
Fate of the Black String Instability / G. T. Horowitz ; K. Maeda
Constructing New Types of Matrix Models / H. Kawai
Five Dimensional Supergravity on Orbifold / T. Kugo
Tachyon Condensation in Noncommutative Open String Theory / T. Kuroki
Tachyon Condensation, Boundary State, and Noncommutative Solitons / T. Lee
Matrix Model for de Sitter / M. Li
Black Holes from Quantum Mechanics / D. A. Lowe
The Past, Puzzles, and Promise of 6-Branes / D. Marolf
Chiral Gauge Anomalies on Noncommutative Space-Time / C. P. Martin
Coset Construction of Metrics with Special Holonomy / M. Naka
A New Type of String Field Theory / H. B. Nielsen ; M. Ninomiya
Open String Fields as Matrices / K. Okuyama
SUSY Breaking by Stable Non-BPS Walls / N. Maru ; N. Sakai ; Y. Sakamura ; R. Sugisaka
D0-Branes with Non-Zero Angular Momentum / G. K. Savvidy
Perturbative Computations in SUSYM: Testing AdS/CFT / G. W. Semenoff
Orientifold in Conifold and Duality Cascades / S.-J. Sin
Matrix Models as Hidden Variables Theories / L. Smolin
U-Duality from Matrix Membrane Partition Function / F. Sugino
Magnetic Backgrounds and Tachyonic Instabilities in Closed String Theory / A. A. Tseytlin
World-Sheet String Duality and the Hidden Supersymmetry / T. Yoneya
Issues in Vacuum String Field Theory / B. Zwiebach
Poster Presentations
Noncommutativity in Compactification Moduli Space / J. Evslin
Tachyonic Scalar and RS Brane / K. Ghoroku ; A. Nakamura
D-Branes and Boundary States in AdS[subscript 3] / Y. Hikida
Pole Solution in Six Dimensions as a Dimensional Reduction Model / S. Ichinose
Large N Structure of IIB Matrix Model / N. Kitsunezaki
A Confining String Theory Derived from QCD / K.-I. Kondo
Wilson Loop and Dimensional Reduction in Non-Commutative Gauge Theories / S. Lee
The Fuzzy Kahler Coset Space by the Fedosov Formalism / T. Masuda
Identity Projector and D-Brane in String Field Theory / Y. Matsuo
Higher-Derivative Gravity and the AdS/CFT Correspondence / S. Matsuura
Descent Relation of Tachyon Condensation from Boundary String Field Theory / S. Moriyama
Cosmological Vacuum Energy and Brane Universe / M. Nagasawa
Closed-String Tachyon Condensation and Loop Corrected On-Shell Effective Action of Open-String Tachyons / S. Nakamura
Spherical D2-Brane from Multiple D0-Branes / M. Nozaki
AdS Black Hole with Dynamical Brane / S. Ogushi
Supersymmetric D-Brane Bound States with B-Field and Higher Dimensional Instantons on Non-Commutative Geometry / K. Ohta
String Junction Transitions and Marginal Stability in N = 2E[subscript N] Theories / Y. Ohtake
Cosmological Evolution of a Brane Universe in a Type 0 String Background / E. Papantonopoulos ; I. Pappa
Noncommutative-Shift Invariant Field Theory / A. Sako ; S.-I. Kuroki ; T. Ishikawa
BPS Bound States of D6-Branes and Lower Dimensional D-Branes / M. Sato
Generalized AdS/CFT Correspondence for Matrix Theory in the Large-N Limit / Y. Sekino
AdS No-Hair, AdS/CFT, and the Brane-World / T. Shiromizu ; D. Ida
Can We Construct the Enhancon Configuration with D2-D6 Branes Shell? / T. Torii ; M. Narita ; S. Yahikozawa
Brane-Antibrane Action from Boundary String Field Theory / T. Takayanagi ; S. Terashima ; T. Uesugi
M Theory Realization of Seiberg Duality and Monopole Condensation / J. E. Wang
Perturbative Expansion in the DLCQ of Field and String Theories / S. Yamada
Program
Participants
Author Index
Preface
Organizing Committee and Conference Staff
Papers Presented But Not Included in These Proceedings
5.

図書

図書
edited by N. Arakelian and P.M. Gauthier ; technical editor, G. Sabidussi
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xix, 264 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II, Mathematics, physics, and chemistry ; v. 37
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6.

図書

図書
edited by James S. Byrnes
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  x, 412 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II, Mathematics, physics and chemistry ; v. 33
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7.

図書

図書
edited by Renzo L. Ricca
出版情報: Dordrecht : Kluwer Academic, c2001  ix, 347 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 47
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8.

図書

図書
edited by Fatkhulla Abdullaev, Ole Bang, Mads Peter Sørensen
出版情報: Dordrecht : Kluwer Academic, c2001  xxviii, 445 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 45
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9.

図書

図書
edited by Ciro Ciliberto ... [et al.]
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xv, 337 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II, Mathematics, physics and chemistry ; v. 36
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Preface
List of participants
List of contributors
Vector bundles on singular projective curves / I. Burban ; Yu. Drozd ; G.-M. Greuel
On double planes with Kodaira dimension zero / A. Calabri
Computing minimal generators of ideals of elliptic curves / L. Chiantini ; F. Cioffi ; F. Orecchia
The Segre and Harbourne-Hirschowitz conjectures / C. Ciliberto ; R. Miranda
Pillow degenerations of K3 surfaces / M. Teicher
Computational algebraic geometry today / W. Decker ; F.-O. Schreyer
Some applications of algebraic curves to computational vision / M. Fryers ; J.Y. Kaminski
Coding theory and algebraic curves over finite fields / G. van der Geer
Three algorithms in algebraic geometry, coding theory and singularity theory / C. Lossen ; M. Schulze
Counting points on Calabi-Yau threefolds / K. Hulek ; J. Spandaw
Subvarieties of abelian varieties / E. Izadi
Characteristic varieties of algebraic curves / A. Libgober
Communication networks and Hilbert modular forms / R. Livne
Compact Kahler threefolds with small Picard numbers / Th. Peternell
Abelian varieties over the field of the 20th roots of unity that have good reduction everywhere / R. Schoof
Using monodromy to decompose solution sets of polynomial systems into irreducible components / A.J. Sommese ; J. Verschelde ; C.W. Wampler
Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry / B. Szendroi
List of Participants
Coding theory and algebraic curves over finite felds / I. Burban, et al. ; L. Chiantini, et al. ; C. Ciliberto, et al. ; M. Fryers, et al.
Communications networks and Hilbert modular forms / G.-M. Greuel, et al. ; R. LivnF
Compact Ka'hler threefolds with small Picard numbers
Preface
List of participants
List of contributors
10.

図書

図書
edited by S. Pakuliak and G. von Gehlen
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  vii, 335 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics, and chemistry ; v. 35
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A new basis for Bethe vectors of the Heisenberg model / T.-D. Albert ; K. Ruhlig
The form factors and quantum equation of motion in the sine-Gordon model / H. Babudjian ; M. Karowski
Instantons, Hilbert schemes and integrability / H.W. Braden ; N.A. Nekrasov
Low-temperature behaviour of 2D lattice SU(2) spin model / O. Borisenko ; V. Kushnir
Form factor representation of the correlation functions of the two dimensional Ising model on a cylinder / A.I. Bugrij
Aspects of integrable quantum field theories with boundaries / E. Corrigan
Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras / B.L. Feigin ; A.V. Odesskii
Quantized moduli spaces of the bundles on the elliptic curve and their applications
Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models / A. Fring
The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials / G. von Gehlen ; S.-S. Roan
Dualities in integrable systems: geometrical aspects / A. Gorsky ; V. Rubtsov
Integrable evolutionary equations via Lie algebras on hyperelliptic curves / P. Holod ; T. Skrypnyk
The quantum dilogarithm and Dehn twists in quantum Teichmnller theory / R. Kashaev
Unitary representations of the modular and two-particle q-deformed Toda chains / S. Kharchev, et al
The Algebraic Bethe Ansatz and the correlation functions of the Heisenberg magnet / N.A. Kitanine ; N.A. Slavnov
Dual algebras with non-linear Posson brackets / A. Korovnichenko ; A. Zhedanov
Sine-Gordon solitons vs relativistis Calogero-Moser particles / S.N.M. Ruijsenaars
Integrable three dimensional models in wholly discrete space-time / S. Sergeev
Elliptic beta integrals and special functions of hypergeometric type / V.P. Spiridonov
The 9-vertex model with a special value of the crossing parameter and the related XYZ spin chain / Y. Stroganov
Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions / R.A. Usmanov
Index
List of the Workshop Participants
A new basis for Bethe vectors of the Heisenberg model / T.-D. Albert ; K. Ruhlig
The form factors and quantum equation of motion in the sine-Gordon model / H. Babudjian ; M. Karowski
Instantons, Hilbert schemes and integrability / H.W. Braden ; N.A. Nekrasov
11.

図書

図書
editor, Andrei Khrennikov ; sponsoring organizations, Swedish scientific council, EU-network quantum probability, International center for mathematical modeling
出版情報: New York : American Institute of Physics, c2005  xiv, 410 p. ; 28 cm
シリーズ名: AIP conference proceedings ; no. 750
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12.

図書

図書
edited by Fatkhulla Kh. Abdullaev and Vladimir V. Konotop
出版情報: Dordrecht : Kluwer Academic Publishers, c2004  xxviii, 555 p. ; 25 cm
シリーズ名: NATO science series ; Series II . Mathematics, physics, and chemistry ; v. 153
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Preface
Contributing Authors
Nonlinear Waves / I:
General Topics
Towards algebro-geometric integration of the Gross-Pitaevskii equation / V.Z. Enolskii
On modeling adiabatic N-soliton interactions / V.S. Gerdjikov
Dynamical stabilization of nonlinear waves / F. Abdullaev
Solitons as strange attractors / N. Akhmediev, et al
Multidimensional solitons and vortices in periodic potentials / B.B. Baizakov, et al
Globally-linked vortex clusters / L.-C. Crasovan, et al
Solutions of the logarithmic Schr?dinger equation in a rotating harmonic trap / I. Bialynicki-Birula ; T. Sowinski
Linear and nonlinear bound states in curved waveguides / Yu.B. Gaididei, et al
Numerical study of a nonlocal sine-Gordon equation / G. Alfimov, et al
From nonlocality to fractional calculus / L. V?zquez
On 3+1 dimensional Friedman-Robertson-Walker universes with matter / T. Christodoulakis, et al
Stochastic effects on the Eckhaus equation / S. De Lillo ; G. Sanchini
Modulational instability of some nonlinear nuclear continuum and discrete models / D. Grecu ; A. Visinescu
Scattering of NLS solitons with bound quantum states / A. Ludu
"Oscillator-Wave" model: Multiple attractors and strong stability / V. Damgov ; P. Trenchev
Bose-Einstein Condensates and Matter Waves / II:
Bose-Einstein condensation: the odd nonlinear quantum mechanics / L.P. Pitaevskii
Statistical mechanics of quantum integrable systems / M. Wadati, et al
Bose-Einstein condensates in an optical lattice / C. Fort ; L. Fallani
Bose-Einstein condensates in optical lattices in the nonlinear regime / O. Morsch ; E. Arimondo
Quantum bound states and matter waves delocalizations / M. Salerno
Control of matter waves in optical lattices by Feshbach resonance / V.A. Brazhnyi ; V.V. Konotop
Two-component Bose-Einstein condensates in optical lattices / N.A. Kostov, et al
Shock waves in Bose-Einstein condensates / A.M. Kamchatnov, et al.
Nonlinear Optics and Photonics / III:
Stopping and bending light in 2D photonic structures / A.B. Aceves ; T. Dohnal
Model of the two level quantum dots ensemble interacting with ultra-short pulse of coherent radiation / A.I. Maimistov
Enhanced optical transmission via tunnel coupling in surface polaritronic crystals / S.A. Darmanyan, et al
Liquid light in cubic-quintic nonlinear optical materials / H. Michinel, et al
Optical pulse evolution toward light bullet and vortex solution / V. Skarka, et al
The description of extremely short pulses in non-resonant media in frame of Maxwell-Duffing-type models / E.V. Kazantseva
Statistics of three interacting optical solitons / S. Boscolo, et al
Statistical study of Raman scattering in optical fibers affected by random conditions / J. Villarroel
Electromagnetics of unharmonic waves - exactly solvable model / A. Shvartsburg
Nonlinear Waves in Discrete Systems / IV:
Quantum breathers in an attractive fermionic Hubbard model / J.C. Eilbeck ; F. Palermo
Energy localization and first order phase transition in solids and molecules / S. Takeno ; T. Suzuki
Soliton dynamics in randomly perturbed discrete lattices / J. Garnier
Ultrafast electron transfer: The standard theory revisited / S. Aubry
Nonlinear spectroscopy study of vibrational self-trapping in hydrogen bonded crystals / J. Edler ; P. Hamm
Quantum anharmonic phonons in the Fermi-Pasta-Ulam chain / J. Szeftel
Dynamics of the perturbed Ablowitz-Ladik soliton beyond the adiabatic approximation / E.V. Doktorov, et al
Travelling waves in a perturbed discrete sine-Gordon equation / V.M. Rothos ; M. Feckan
Dynamics of multicomponent solitons in perturbed ladder lattices / O.O. Vakhnenko
Miwa''s representation of the Volterra hierarchy / V.E. Vekslerchik
Moving topological solitons in the discrete Klein-Gordon equation / Ya. Zolotaryuk
Dynamics of discrete solitons in media with varying nonlinearity / F.Kh. Abdullaev, et al
On continuous limits of some generalized compressible Heisenberg spin chains / N.S. Serikbaev, et al
On the geometry of stationary Heisenberg ferromagnets / F.K. Rahimov, et al. Ind
Preface
Contributing Authors
Nonlinear Waves / I:
13.

図書

図書
edited by B. Brent Gordon ... [et al.]
出版情報: Dordrecht : Kluwer Academic, c2000  xxx, 615 p. ; 25 cm
シリーズ名: NATO science series ; Ser. C . Mathematical and physical sciences ; v. 548
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14.

図書

図書
edited by Lárus Thorlacius and Thordur Jonsson
出版情報: Dordrecht : Kluwer Academic Publishers, c2000  xviii, 454 p. ; 25 cm
シリーズ名: NATO science series ; Ser. C . Mathematical and physical sciences ; v. 556
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Preface
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1:
Introduction
Perturbative String Theory / 2:
Conformal Field Theory Formulation / 3:
T-Duality / 4:
Classical Solutions Of The Low-Energy String Effective Action / 5:
Bosonic Boundary State / 6:
Fermionic Boundary State / 7:
Classical Solutions From Boundary State / 8:
Interaction Between a p and a p' Brane / 9:
Moduli Spaces of Calabi-Yau Compactifications / J. Louis
A short story about string theory, F-theory and M-theory
String Theory / 2.1:
Calabi-Yau compactifications / 2.2:
String Dualities / 2.3:
F-Theory / 2.4:
M-Theory / 2.5:
Three Triplets of Dualities / 2.6:
The q = 16 triplet
The q = 8 triplets
Calabi-Yau manifolds / A:
The M(atrix) Model of M-Theory / W. Taylor
Matrix theory from the quantized supermembrane
Review of light-front string
The bosonic membrane theory
The light-front bosonic membrane
Matrix regularization
The bosonic membrane in a general background
The supermembrane
Covariant membrane quantization / 2.7:
The BFSS conjecture
Membrane "instability" / 3.1:
M-theory / 3.2:
Matrix theory as a second quantized theory / 3.3:
Matrix theory and DLCQ M-theory / 3.5:
M-theory objects from matrix theory
Supergravitons / 4.1:
Membranes / 4.2:
5-branes / 4.3:
Extended objects from matrices / 4.4:
Interactions in matrix theory
Two-body interactions / 5.1:
The N-body problem / 5.2:
Longitudinal momentum transfer / 5.3:
Matrix theory in a general background
T-duality / 6.1:
Matrix theory on tori / 6.2:
Matrix theory in curved backgrounds / 6.3:
Outlook
The Holographic Principle / D. Bigatti ; L. Susskind
Black Hole Complementarity
The Schwarzschild Black Hole / 1.1:
Penrose Diagrams / 1.2:
Black Hole Thermodynamics / 1.3:
The Thermal Atmosphere / 1.4:
The Quantum Xerox Principle / 1.5:
Information Retention Time / 1.6:
Quantum Xerox Censorship / 1.7:
Baryon Violation and Black Hole Horizons / 1.8:
String Theory at High Frequency / 1.9:
The Space Time Uncertainty Relation / 1.10:
Entropy Bounds
Maximum Entropy
Entropy on Light-Like Surfaces
Robertson Walker Geometry
Bousso's Generalization
The AdS/CFT Correspondence and the Holographic Principle
AdS Space
Holography in AdS Space
The AdS/CFT Correspondence
The Infrared Ultraviolet Connection
Counting Degrees of Freedom
AdS Black Holes / 3.6:
The Horizon / 3.7:
The Flat Space Limit
High Energy Gravitons Deep in the Bulk
Kaluza Klein Modes
Born-Infeld Actions and D-Brane Physics / C.G. Callan
D-Brane Solitons and the Born-Infeld Action
Born-Infeld Dynamics of Branes in Flat Space
Branes in Curved Space and the Gauge Theory Connection
Born-Infeld Analysis of the Baryon Vertex
Applications of the AdS/CFT Correspondence
Summary
Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces / R. Britto-Pacumio ; J. Michelson ; A. Strominger ; A. Volovich
A Simple Example of Conformal Quantum Mechanics
Conformally Invariant N-Particle Quantum Mechanics
Superconformal Quantum Mechanics
A Brief Diversion on Supergroups
Quantum Mechanical Supermultiplets
Osp(1|2)-Invariant Quantum Mechanics
D(2, 1; [alpha])-Invariant Quantum Mechanics
The Quantum Mechanics of a Test Particle in a Reissner-Nordstrom Background
Quantum Mechanics on the Black Hole Moduli Space
The black hole moduli space metric
The Near-Horizon Limit
Conformal Symmetry
Discussion
Differential Geometry with Torsion
Large-N Gauge Theories / Y. Makeenko
O(N) Vector Models
Four-Fermi Interaction
Bubble graphs as zeroth order in 1/N
Scale and Conformal Invariance of Four-Fermi Theory
Nonlinear sigma model
Large-N factorization in vector models
Large-N QCD
Index or ribbon graphs
Planar and non-planar graphs
Topological expansion and quark loops
Large-N[subscript c] factorization
The master field
1/N[subscript c] as semiclassical expansion
QCD in Loop Space
Observables in terms of Wilson loops
Schwinger-Dyson equations for Wilson loop
Path and area derivatives
Loop equations
Relation to planar diagrams / 4.5:
Loop-space Laplacian and regularization / 4.6:
Survey of non-perturbative solutions / 4.7:
Wilson loops in QCD[subscript 2] / 4.8:
Large-N Reduction
Reduction of scalar field
Reduction of Yang-Mills field
R[superscript d]-symmetry in perturbation theory
Twisted reduced model / 5.4:
Introduction to Random Surfaces / T. Jonsson
Random paths
Lattice paths
Dynamically triangulated paths
Branched polymers
Extrinsic properties
Intrinsic properties
Dynamicaly triangulated surfaces
Definitions
Basic properties
The string tension
Further results
Lattice surfaces
Critical behaviour
Conclusion
Lorentzian and Euclidean Quantum Gravity--Analytical and Numerical Results / J. Ambjorn ; J. Jurkiewicz ; R. Loll
Lorentzian gravity in 2d
The discrete model
The continuum limit
Topology changes and Euclidean quantum gravity
Baby universe creation
The fractal dimension of Euclidean 2d gravity
Euclidean quantum gravity
Some generalities
Dynamical triangulations
The functional integral
Inclusion of matter fields
Numerical setup
Monte Carlo method and ergodic moves
Observables in 2d Euclidean gravity
Comments on the 2d results
Dynamically triangulated quantum gravity in d ] 2
Generalization to higher dimensions
Numerical results in higher dimensions
Index
Preface
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1:
Introduction
15.

図書

図書
edited by Jürgen Herzog and Victor Vuletescu
出版情報: Dordrecht : Kluwer Academic, c2003  x, 273 p. ; 25 cm
シリーズ名: NATO science series ; Series II . Mathematics, physics and chemistry ; v. 115
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目次情報: 続きを見る
Association for Flag Configuration / C. Borcea
Gr÷bner bases and determinantal ideals / W. Bruns ; A. Conca
Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations / M. Chardin
The Computer Algebra Package Bergman: Current State / J. Backelin ; S. Cojocaru ; V. Ufnarovski
Monomialization and ramification of valuations / S.D. Cutkosky
Hyperplane arrangements, M-tame polynomials and twisted cohomology / A. Dimca
A note on the Intersection of Veronese Surfaces / D. Eisenbud ; K. Hulek ; S. Popescu
Rank one Maximal Cohen-Macaulay modules over singularities of type Y3 1+ Y32 + Y33 + Y34 / V. Ene ; D. Popescu
Towards a theory of Gorenstein m-primary integrally closed ideals / S. Goto ; F. Hayasaka ; S. Kasuga
Universal Gr÷bner bases, integer programming and finite graphs / H. Ohsugi ; T. Kitamura ; T. Hibil
Torsion in tensor powers and flatness / C. Ionescu
Basic Tools for Computing in Multigraded Rings / M. Kreuzer ; L. Robbiano
A Problem in Group Theory solved by Computer Algebra / G. Pfister
On curves of small degree on a normal rational surface Scroll / P. Schenzel
On SAGBI Bases and Resultants / A. Torstensson ; H. +fverbeck
Modules of G-dimension zero over local rings with the cube of maximal ideal being zero / Y. Yoshino
Preface
List of Participants
Association for Flag Configurations / Ciprian Borcea
Grobner bases and determinantal ideals / Winfried Bruns ; Aldo Conca
Rank one Maximal Cohen-Macaulay modules over singularities of type Y[superscript 3 subscript 1] + Y[superscript 3 subscript 2] + Y[superscript 3 subscript 3] + Y[superscript 3 subscript 4] / Marc Chardin ; Jorgen Backelin ; Svetlana Cojocaru ; Victor Ufnarovski ; Steven Dale Cutkosky ; Alexandru Dimca ; David Eisenbud ; Klaus Hulek ; Sorin Popescu ; Viviana Ene ; Dorin Popescu
Universal Grobner bases, integer programming and finite graphs / Shiro Goto ; Futoshi Hayasaka ; Satoe Kasuga ; Hidefumi Ohsugi ; Tomonori Kitamura ; Takayuki Hibi
On curves of small degree on a normal rational surface scroll / Cristodor Ionescu ; Martin Kreuzer ; Lorenzo Robbiano ; Gerhard Pfister ; Peter Schenzel
Association for Flag Configuration / C. Borcea
Gr÷bner bases and determinantal ideals / W. Bruns ; A. Conca
Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations / M. Chardin
16.

図書

図書
edited by D. Siersma, C.T.C. Wall and V. Zakalyukin
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  viii, 472 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 21
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17.

図書

図書
edited by Joaquin Bustoz, Mourad E.H. Ismail and Sergei K. Suslov
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xi, 520 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics, and chemistry ; v. 30
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Preface
Foreword Bailey's transform, lemma, chains and tree / G.E. Andrews
Riemann-Hilbert problems for multiple orthogonal polynomials / W. Van Assche, et al
Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions and q's / B.C. Berndt
Orthogonal rational functions and continued fractions / A. Bultheel, et al
Orthogonal polynomials and reflection groups / C.F. Dunkl
The bispectral problem: an overview / F.A. Grnnbaum
The Bochner-Krall problem: some new perspectives / L. Haine
Lectures on q-orthogonal polynomials / M.E.H. Ismail
The Askey-Wilson function transform scheme / E. Koelink ; J.V. Stokman
Arithmetic of the partition function / K. Ono
The associated classical orthogonal polynomials / M. Rahman
Special functions defined by analytic difference equations / S.N.M. Ruijsenaars
The factorization method, self-similar potentials and quantum algebras / V.P. Spiridonov
Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids / A.S. Zhedanov
Orthogonal polynomials and combinatorics / D. Stanton
Basic exponential functions on a q-quadratic grid / S.K. Suslov
Projection operator method for quantum groups / V.N. Tolstoy
Uniform asymptotic expansions / R. Wong
Exponential asymptotics
Index
Preface
Foreword Bailey's transform, lemma, chains and tree / G.E. Andrews
Riemann-Hilbert problems for multiple orthogonal polynomials / W. Van Assche, et al
18.

図書

図書
edited by I. Klaus W. Roggenkamp and Mirela Ștefănescu
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xiii, 460 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II, Mathematics, physics and chemistry ; v. 28
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Preface / K.W. Roggenkamp ; M. Stefanescu
Tilting modules for algebraic and quantum groups / H.H. Anderson
Connections between group representations and cohomology / J.F. Carlson
Invariant theory of algebra representations / M. Domokos
Representation Theory of Orders / O. Iyama
On some problems in PI-theory in characteristic p / A. Kemer
Blocks of category O, double centralizer properties, and Enright's completions / S. Koenig
The Gelfand-Kirillov dimensions of Algebras arising from Representation Theory / Z. Lin
The normalizer of a finite group in its integral group ring and Cech cohomology / Z.S. Marciniak
Representation Theory of Semisimple Hopf Algebras / S. Montgomery
Semigroup cohomology and applications / B.V. Novikov
In Search For Noetherian Algebras / J. Okninski
Cohen-Macaulay representation / D. Popescu
Hereditary abelian categories and almost split sequences / I. Reiten
The abelian defect group conjecture: some recent progress / J. Rickard
2-dimensional Orders and integral Hecke orders
Invertible ideals and non-commutative generalizations of regular rings / W. Rump
Langlands' philosophy and Koszul duality / W. Soergel
Noncommutative projective geometry / J.T. Stafford
Braid groups as self-equivalences of derived categories / A. Zimmermann
Modules with good filtration and invariant theory / A.N. Zubkov
Preface / K.W. Roggenkamp ; M. Stefanescu
Tilting modules for algebraic and quantum groups / H.H. Anderson
Connections between group representations and cohomology / J.F. Carlson
19.

図書

図書
edited by Laurent Baulieu ... [et al.]
出版情報: Dordrecht : Kluwer Academic, c2001  ix, 417 p. ; 25 cm
シリーズ名: NATO science series ; Series C . Mathematical and physical sciences ; v. 564
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