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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
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