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1.

図書
図書
1. Conformal invariance and critical phenomena
Malte Henkel
出版情報: Berlin ; Tokyo : Springer, c1999  xvii, 417 p. ; 25 cm
シリーズ名: Texts and monographs in physics
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目次情報: 続きを見る
Critical Phenomena: a Reminder / 1：
Phase Diagrams and Critical Exponents / 1.1：
Scale Invariance and Scaling Relations / 1.2：
Some Simple Spin Systems / 1.3：
Ising Model / 1.3.1：
Tricritical Ising Model / 1.3.2：
q-States Potts Model / 1.3.3：
Vector Potts Model / 1.3.4：
XY Model / 1.3.5：
Yang-Lee Edge Singularity / 1.3.6：
Percolation / 1.3.7：
Linear Polymers / 1.3.8：
Restricted Solid-On-Solid Models / 1.3.9：
Some Experimental Examples / 1.4：
Correspondence Between Statistical Systems and Field Theory / 1.5：
Correspondence of Physical Quantities / 1.6：
Free Energy Density / 1.6.1：
Correlation Functions / 1.6.2：
Correlation Lengths / 1.6.3：
Conformal Invariance / 2：
From Scale Invariance to Conformal Invariance / 2.1：
Conformal Transformations in d Dimensions / 2.2：
Conformal Transformations in Two Dimensions / 2.3：
Conformal Invariance in Two Dimensions / 2.4：
Correlation Functions of Quasi-primary Operators / 2.5：
The Energy-Momentum Tensor / 2.6：
Finite-Size Scaling / 3：
Statistical Systems in Finite Geometries / 3.1：
Finite-Size Scaling Hypothesis / 3.2：
Universality / 3.3：
Phenomenological Renormalization / 3.4：
Consequences of Conformal Invariance / 3.5：
Comparison with Experiments / 3.6：
Representation Theory of the Virasoro Algebra / 4：
Verma Module / 4.1：
Hilbert Space Structure / 4.2：
Null Vectors / 4.3：
Kac Formula and Unitarity / 4.4：
Minimal Characters / 4.5：
Correlators, Null Vectors and Operator Algebra / 5：
Null Vectors and Correlation Functions / 5.1：
Operator Algebra and Associativity / 5.2：
Analyticity and the Monodromy Problem / 5.3：
Riemann's Method / 5.4：
Ising Model Correlators / 6：
Spin-Density Four-Point Function / 6.1：
Energy-Density Four-Point Function / 6.2：
Mixed Four-Point Functions / 6.3：
Semi-Local Four-Point Functions / 6.4：
Coulomb Gas Realization / 7：
The Free Bosonic Scalar Field / 7.1：
Screened Coulomb Gas / 7.2：
Minimal Correlation Functions / 7.3：
Minimal Algebras and OPE Coefficients / 7.4：
The Hamiltonian Limit and Universality / 8：
Hamiltonian Limit in the Ising Model / 8.1：
Hubbard-Stratonovich Transformation / 8.2：
Hamiltonian Spectrum and Conformal Invariance / 8.3：
Temperley-Lieb Algebra / 8.5：
Laudau-Ginzburg Classification / 8.6：
Numerical Techniques / 9：
Simple Properties of Quantum Hamiltonians / 9.1：
Some Further Physical Quantities and their Critical Exponents / 9.2：
Translation Invariance / 9.3：
Diagonalization / 9.4：
Extrapolation / 9.5：
VBS Algorithm / 9.5.1：
BST Algorithm / 9.5.2：
The DMRG Algorithm / 9.6：
Conformal Invariance in the Ising Quantum Chain / 10：
Exact Diagonalization / 10.1：
General Remarks / 10.1.1：
Jordan-Wigner Transformation / 10.1.2：
Diagonalization of a Quadratic Form / 10.1.3：
Eigenvalue Spectrum and Normalization / 10.1.4：
Character Functions
Finite-Size Scaling Analysis / 10.2：
Ground State Energy / 10.3.1：
Operator Content / 10.3.2：
Finite-Size Corrections / 10.3.3：
Finite-Size Scaling Functions / 10.3.4：
The Spin I Quantum Chain / 10.3：
The Virasoro Generators / 10.4：
Recapitulation / 10.5：
Modular Invariance / 11：
The Modular Group / 11.1：
Implementation for Minimal Models / 11.2：
Modular Invariance at c =1 / 11.3：
Circle or Coulomb Models / 11.3.1：
Orbifold Models / 11.3.2：
Lattice Realizations / 11.4：
Further Developments and Applications / 12：
Three-States Potts Model / 12.1：
Supersymmetry and Superconformal Invariance / 12.2：
Ashkin Teller Model / 12.3：
Relation with the XXZ Quantum Chain / 12.4.1：
Global Symmetry and Boundary Conditions / 12.4.2：
Phase Diagram / 12.4.3：
Operator Content on the c =1 Line / 12.4.4：
XXZ Quantum Chain / 12.5：
Ising Correlation Functions on Cylinders / 12.7：
Alternative Realizations of the Conformal Algebra / 12.8：
Logarithmic Conformal Theories / 12.8.1：
Lattice Two-Point Functions / 12.8.2：
Polymers / 12.9：
Lattice Animals / 12.10.1：
A Sketch of Conformal Turbulence / 12.11：
Some Remarks on 3D Systems / 12.12：
Conformal Perturbation Theory / 13：
Correlation Functions in the Strip Geometry / 13.1：
General Remarks on Corrections to the Critical Behaviour / 13.2：
Tower of the Identity / 13.3：
Application to the Ising Model / 13.3.2：
Application to the Three-States Potts Model / 13.3.3：
Checking the Operator Content from Finite-Size Corrections / 13.3.4：
Ising Model: Thermal Perturbation / 13.4：
Ising Model: Magnetic Perturbation / 13.4.2：
Truncation Method / 13.5：
The Vicinity of the Critical Point / 14：
The c-Theorem / 14.1：
Application to Polymers / 14.1.1：
Conserved Currents Close to Criticality / 14.2：
Exact S-Matrix Approach / 14.3：
Phenomenological Consequences / 14.4：
Integrable Perturbations / 14.4.1：
Universal Critical Amplitude Ratios / 14.4.2：
Chiral Potts Model / 14.4.3：
Oriented Interacting Polymers / 14.4.4：
Non-integrable Perturbations / 14.4.5：
Asymptotic Finite-Size Scaling Functions / 14.5：
Surface Critical Phenomena / 15：
Systems with a Boundary / 15.1：
Conformal Invariance Close to a Free Surface / 15.2：
Finite-Size Scaling with Free Boundary Conditions / 15.3：
Surface Operator Content / 15.4：
Temperley-Lieb Algebra and Relation with the XXZ Chain / 15.4.1：
Ashkin-Teller Model / 15.4.4：
Profiles / 15.4.7：
Defect Lines
Aperiodically Modulated Systems / 15.6.1：
Persistent Currents in Small Rings / 15.6.2：
Strongly Anisotropic Scaling / 16：
Dynamical Scaling / 16.1：
Schrödinger Invariance / 16.2：
Towards Local Scale Invariance for General ? / 16.3：
Some Remarks on Reaction-Diffusion Processes / 16.4：
Anhang/Annexe
List of Tables
List of Figures
References
Index
Critical Phenomena: a Reminder / 1：
Phase Diagrams and Critical Exponents / 1.1：
Scale Invariance and Scaling Relations / 1.2：
2.

図書
図書
2. A mathematical introduction to conformal field theory : based on a series of lectures given at the Mathematisches Institut der Universitat Hamburg
Martin Schottenloher
出版情報: Berlin ; New York : Springer, c1997  viii, 142 p. ; 24 cm
シリーズ名: Lecture notes in physics ; . New series m, Monographs ; m43
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3.

図書
図書
3. Conformal quantum field theory in D-dimensions
by Efim S. Fradkin and Mark Ya. Palchik
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic Publishers, c1996  xii, 461 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 376
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4.

図書
図書
4. Mirror symmetry (1 - 2 : pbk)
B. Greene and S.-T. Yau, editors
出版情報: Providence, R.I. : American Mathematical Society , [Cambridge] : International Press, c1997-c1999  v. ; 26 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 1, 9
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目次情報: 続きを見る
Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
Mirror symmetry constructions: A review / P. Berglund ; S. Katz
On the elliptic genus and mirror symmetry / M. Henningson
Orbifold Euler characteristic / S.-s. Roan
The structure of moduli space: Phases of $N=2$ theories in two dimensions / E. Witten
Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory / P. S. Aspinwall ; D. R. Morrison
Picard-Fuchs equations, special geometry and target space duality / A. Ceresole ; R. D'Auria ; S. Ferrara ; W. Lerche ; J. Louis ; T. Regge
Resolution of orbifold singularities in string theory
The role of $c_2$ in Calabi-Yau classification-a preliminary survey / P. H. Wilson
Thickening Calabi-Yau moduli spaces / Z. Ran
The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed / M. Gross
Introduction to duality / A. Giveon ; M. Rocek
Non-compact Calabi-Yau spaces and other non-trivial backgrounds for four-dimensional superstrings / E. Kiritsis ; C. Kounnas ; D. Lust
Scaling behavior on the space of Calabi-Yau manifolds / R. Schimmrigk
Enumerative issues and mirror symmetry: Making enumerative predictions by means of mirror symmetry
Mirror symmetry for two parameter models-I / P. Candelas ; X. l. Ossa ; A. Font
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces / S. Hosono ; A. Klemm ; S. Theisen ; S.-T. Yau
Gromov-Witten classes, quantum cohomology, and enumerative geometry / M. Kontsevich ; Yu. Manin
Holomorphic anomalies in topological field theories / M. Bershadsky ; S. Cecotti ; C. Vafa
Local behavior of Hodge structures at infinity / P. Deligne
Mirror symmetry in higher and lower dimensions: String theory on K3 surfaces
K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds / C. Borcea
Mirror manifolds in higher dimension / M. R. Plesser
Supermanifolds, rigid manifolds and mirror symmetry / S. Sethi
An introduction to mirror manifolds
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory / X. C. de la Ossa ; P. S. Green ; L. Parkes
Topological mirrors and quantum rings
Mirror manifolds and topological field theory
Rational curves and classification of algebraic varieties / Y. Kawamata
Rational curves on Calabi-Yau threefolds
Picard-Fuchs equations and mirror maps for hypersurfaces
Kahler classes on Calabi-Yau threefolds-An informal survey / P. M. H. Wilson
Automorphic functions and special Kahler geometry / F. Zwirner
Picard-Fuchs equations and flat holomorphic connections from $N = 2$ supergravity
A new geometry from superstring theory / C. A. Lutken
The geometry of Calabi-Yau orbifolds / S.-S. Roan
Properties of superstring vacua from (topological) Landau-Ginzburg models / D.-J. Smit
An $SL(2,\mathbb{C})$ action on certain Jacobian rings and the mirror map / T. Hubsch
A generalized construction of mirror manifolds
New constructions of mirror manifolds: Probing moduli space far from Fermat points
Deformations of Calabi-Yau Kleinfolds
Smoothing 3-folds with trivial canonical bundle and ordinary double points / G. Tian
Modified Calabi-Yau manifolds with torsion
Calabi-Yau threefolds and complex multiplication
Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
5.

図書
図書
5. Conformal field theory (: pbk)
Philippe Di Francesco, Pierre Mathieu, David Sénéchal
出版情報: New York : Springer, c1997  xxi, 890 p. ; 25 cm
シリーズ名: Graduate texts in contemporary physics
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