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1.

図書

図書
Dimitri Polyakov
出版情報: Hackensack, N.J. : World Scientific, c2019  xii, 197 p. ; 24 cm
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2.

図書

図書
Lars Brink and Marc Henneaux
出版情報: New York : Plenum Press, c1988  xiii, 297 p. ; 24 cm
シリーズ名: Series of the Centro de Estudios Científicos de Santiago
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3.

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
4.

図書

図書
W. Kliesch
出版情報: New York : Springer, 1998  128p. ; 24 cm
シリーズ名: Lecture notes in chemistry ; 69
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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
Brian Hatfield
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley, c1992  xvii, 734 p. ; 24 cm
シリーズ名: Frontiers in physics ; v. 75
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7.

図書

図書
B.M. Barbashov, V.V. Nesterenko ; translator, T.Yu. Dumbrajs
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xi, 249 p. ; 23 cm
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8.

図書

図書
D. Lüst, S. Theisen
出版情報: Berlin ; Tokyo : Springer-Verlag, c1989  vii, 346 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 346
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9.

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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目次情報: 続きを見る
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:
10.

図書

図書
Tomás Ortín
出版情報: Cambridge : Cambridge University Press, 2006, c2004  xx, 684 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Preface
Introduction to Gravity and Supergravity / Part I:
Differential geometry / 1:
Noether-s theorems / 2:
A perturbative Introduction to general relativity / 3:
Action principles for gravity / 4:
N = 1, 2, d = 4 supergravities / 5:
Conserved charges in general relativity / 6:
Gravitating Point-Particles / Part II:
The Schwarzschild black hole / 7:
The Reissner-Nordstr+ m black hole / 8:
The Taub-NUT solution / 9:
Gravitational pp-waves / 10:
The Kaluza-Klein black hole / 11:
Dilaton and dilaton/axion black holes / 12:
Unbroken supersymmetry / 13:
Gravitating Extended Objects of String Theory / Part III:
String theory / 14:
The string effective action and T duality / 15:
From eleven to four dimensions / 16:
The type-IIB superstring and type-II T duality / 17:
Extended objects / 18:
The extended objects of string theory / 19:
String black holes in four and five dimensions / 20:
Lie groups, symmetric spaces and Yang-Mills fields / Appendix A:
Gamma matrices and spinors / Appendix B:
N-Spheres / Appendix C:
Palatini-s identity / Appendix D:
Conformal rescalings / Appendix E:
Connections and curvature components / Appendix F:
The harmonic operator on R3 x S1 / Appendix G:
References
Index
Preface
Introduction to Gravity and Supergravity / Part I:
Differential geometry / 1:
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