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1.

図書

図書
Joseph Polchinski
出版情報: Cambridge ; New York : Cambridge University Press, 1998  xix, 402 p. ; 26 cm
シリーズ名: Cambridge monographs on mathematical physics ; . String theory / Joseph Polchinski ; v. 1
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目次情報: 続きを見る
Foreword
Preface
Notation
A first look at strings / 1:
Why strings? / 1.1:
Action principles / 1.2:
The open string spectrum / 1.3:
Closed and unoriented strings / 1.4:
Exercises
Conformal field theory / 2:
Massless scalars in two dimensions / 2.1:
The operator product expansion / 2.2:
Ward identities and Noether's theorem / 2.3:
Conformal invariance / 2.4:
Free CFTs / 2.5:
The Virasoro algebra / 2.6:
Mode expansions / 2.7:
Vertex operators / 2.8:
More on states and operators / 2.9:
The Polyakov path integral / 3:
Sums over world-sheets / 3.1:
Gauge fixing / 3.2:
The Weyl anomaly / 3.4:
Scattering amplitudes / 3.5:
Strings in curved spacetime / 3.6:
The string spectrum / 4:
Old covariant quantization / 4.1:
BRST quantization / 4.2:
BRST quantization of the string / 4.3:
The no-ghost theorem / 4.4:
The string S-matrix / 5:
The circle and the torus / 5.1:
Moduli and Riemann surfaces / 5.2:
The measure for moduli / 5.3:
More about the measure / 5.4:
Exercise
Tree-level amplitudes / 6:
Riemann surfaces / 6.1:
Scalar expectation values / 6.2:
The bc CFT / 6.3:
The Veneziano amplitude / 6.4:
Chan-Paton factors and gauge interactions / 6.5:
Closed string tree amplitudes / 6.6:
General results / 6.7:
One-loop amplitudes / 7:
CFT on the torus / 7.1:
The torus amplitude / 7.3:
Open and unoriented one-loop graphs / 7.4:
Toroidal compactification and T-duality / 8:
Toroidal compactification in field theory / 8.1:
Toroidal compactification in CFT / 8.2:
Closed strings and T-duality / 8.3:
Compactification of several dimensions / 8.4:
Orbifolds / 8.5:
Open strings / 8.6:
D-branes / 8.7:
T-duality of unoriented theories / 8.8:
Higher order amplitudes / 9:
General tree-level amplitudes / 9.1:
Higer genus Riemann surfaces / 9.2:
Sewing and cutting world-sheets / 9.3:
Sewing and cutting CFTs / 9.4:
General amplitudes / 9.5:
String field theory / 9.6:
Large order behavior / 9.7:
High energy and high temperature / 9.8:
Low dimensions and noncritical strings / 9.9:
A short course on path integrals / Appendix A:
Bosonic fields / A.1:
Fermionic fields / A.2:
References
Glossary
Index
Foreword
Preface
Notation
2.

図書

図書
Joseph Polchinski
出版情報: Cambridge ; New York : Cambridge University Press, 1998  xix, 531 p. ; 26 cm
シリーズ名: Cambridge monographs on mathematical physics ; . String theory / Joseph Polchinski ; v. 2
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目次情報: 続きを見る
Foreword
Preface
Notation
Type I and type II superstrings / 10:
The superconformal algebra / 10.1:
Ramond and Neveu-Schwarz sectors / 10.2:
Vertex operators and bosonization / 10.3:
The superconformal ghosts / 10.4:
Physical states / 10.5:
Superstring theories in ten dimensions / 10.6:
Modular invariance / 10.7:
Divergences of type I theory / 10.8:
Exercises
The heterotic string / 11:
World-sheet supersymmetries / 11.1:
The SO(32) and E[subscript 8] x E[subscript 8] heterotic strings / 11.2:
Other ten-dimensional heterotic strings / 11.3:
A little Lie algebra / 11.4:
Current algebras / 11.5:
The bosonic construction and toroidal compactification / 11.6:
Superstring interactions / 12:
Low energy supergravity / 12.1:
Anomalies / 12.2:
Superspace and superfields / 12.3:
Tree-level amplitudes / 12.4:
General amplitudes / 12.5:
One-loop amplitudes / 12.6:
D-branes / 13:
T-duality of type II strings / 13.1:
T-duality of type I strings / 13.2:
The D-brane charge and action / 13.3:
D-brane interactions: statics / 13.4:
D-brane interactions: dynamics / 13.5:
D-brane interactions: bound states / 13.6:
Strings at strong coupling / 14:
Type IIB string and SL(2,Z) duality / 14.1:
U-duality / 14.2:
SO(32) type I-heterotic duality / 14.3:
Type IIA string and M-theory / 14.4:
The E[subscript 8] x E[subscript 8] heterotic string / 14.5:
What is string theory? / 14.6:
Is M for matrix? / 14.7:
Black hole quantum mechanics / 14.8:
Advanced CFT / 15:
Representations of the Virasoro algebra / 15.1:
The conformal bootstrap / 15.2:
Minimal models / 15.3:
Coset models / 15.4:
Representations of the N = 1 superconformal algebra / 15.6:
Rational CFT / 15.7:
Renormalization group flows / 15.8:
Statistical mechanics / 15.9:
Orbifolds / 16:
Orbifolds of the heterotic string / 16.1:
Spacetime supersymmetry / 16.2:
Examples / 16.3:
Low energy field theory / 16.4:
Calabi-Yau compactification / 17:
Conditions for N = 1 supersymmetry / 17.1:
Calabi-Yau manifolds / 17.2:
Massless spectrum / 17.3:
Higher corrections / 17.4:
Generalizations / 17.6:
Physics in four dimensions / 18:
Continuous and discrete symmetries / 18.1:
Gauge symmetries / 18.2:
Mass scales / 18.3:
More on unification / 18.4:
Conditions for spacetime supersymmetry / 18.5:
Low energy actions / 18.6:
Supersymmetry breaking in perturbation theory / 18.7:
Supersymmetry beyond perturbation theory / 18.8:
Advanced topics / 19:
The N = 2 superconformal algebra / 19.1:
Type II strings on Calabi-Yau manifolds / 19.2:
Heterotic string theories with (2,2) SCFT / 19.3:
N = 2 minimal models / 19.4:
Gepner models / 19.5:
Mirror symmetry and applications / 19.6:
The conifold / 19.7:
String theories on K3 / 19.8:
String duality below ten dimensions / 19.9:
Conclusion / 19.10:
Spinors and SUSY in various dimensions / Appendix B:
Spinors in various dimensions / B.1:
Introduction to supersymmetry: d = 4 / B.2:
Supersymmetry in d = 2 / B.3:
Differential forms and generalized gauge fields / B.4:
Thirty-two supersymmetries / B.5:
Sixteen supersymmetries / B.6:
Eight supersymmetries / B.7:
References
Glossary
Index
Foreword
Preface
Notation
3.

図書

図書
A. Vilenkin, E.P.S. Shellard
出版情報: Cambridge : Cambridge University Press, 2000  lx, 517 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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4.

図書

図書
Jürgen Jost
出版情報: Providence, RI : American Mathematical Society : International Press, c2001  xi, 95 p. ; 27 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 21
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Preface
Point particles / 1:
Point particles and path integrals / 1.1:
Faddeev-Popov gauge fixing and BRST symmetry / 1.2:
BRST quantization of the point particle / 1.3:
The Bosonic string / 2:
The classical action for strings / 2.1:
Sobolev spaces / 2.2:
Boundary regularity / 2.3:
Spaces of mappings and metrics / 2.4:
The global structure of the spaces of metrics, complex structures, and diffeomorphisms on a surface / 2.5:
Infinitesimal decompositions of metrics / 2.6:
Complex analytic aspects / 2.7:
Teichmuller and moduli spaces of Riemann surfaces / 2.8:
Determinants / 2.9:
The partition function for the Bosonic string / 2.10:
Some physical aspects / 2.11:
Bibliography
Index
Preface
Point particles / 1:
Point particles and path integrals / 1.1:
5.

図書

図書
Michio Kaku
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xiv, 535 p. ; 25 cm
シリーズ名: Graduate texts in contemporary physics
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6.

図書

図書
Leonardo Castellani, Riccardo D'Auria, Pietro Fré
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1991  xvii, 603 p. ; 23 cm
シリーズ名: Supergravity and superstrings : a geometric perspective / Leonardo Castellani, Riccardo D'Auria, Pietro Fré ; v. 1
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7.

図書

図書
Leonardo Castellani, Riccardo D'Auria, Pietro Fré
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1991  xv p., p. 607-1371 ; 23 cm
シリーズ名: Supergravity and superstrings : a geometric perspective / Leonardo Castellani, Riccardo D'Auria, Pietro Fré ; v. 2
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8.

図書

図書
Leonardo Castellani, Riccardo D'Auria, Pietro Fré
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1991  xv, 1375-2162 p. ; 23 cm
シリーズ名: Supergravity and superstrings : a geometric perspective / Leonardo Castellani, Riccardo D'Auria, Pietro Fré ; v. 3
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9.

図書

図書
Igor Frenkel, James Lepowsky, Arne Meurman
出版情報: Boston ; Tokyo : Academic Press, c1988  liii, 508 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 134
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目次情報: 続きを見る
Lie Algebras
Formal Calculus: Introduction
Realizations of sl(2) by Twisted Vertex Operators
Realizations of sl(2) by Untwisted Vertex Operators
Central Extensions
The Simple Lie Algebras An, Dn, En
Vertex Operator Realizations of An, Dn, En
General Theory of Untwisted Vertex Operators
General Theory of Twisted Vertex Operators
The Moonshine Module
Triality
The Main Theorem
Completion of the Proof
Complex Realization of Vertex Operator Algebras / Appendix:
Bibliography
Index of frequently used symbols
Index
Lie Algebras
Formal Calculus: Introduction
Realizations of sl(2) by Twisted Vertex Operators
10.

図書

図書
Michio Kaku
出版情報: New York ; Berlin ; Tokyo : Springer, c1988  xvi, 568 p. ; 24 cm
シリーズ名: Graduate texts in contemporary physics
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