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1.

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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2.

図書

図書
Katrin Becker, Melanie Becker, and John H. Schwarz
出版情報: Cambridge : Cambridge University Press, 2007  xvi, 739 p. ; 26 cm
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目次情報: 続きを見る
Introduction / 1:
The bosonic string / 2:
Conformal field theory and string interactions / 3:
Strings with world-sheet supersymmetry / 4:
Strings with space-time supersymmetry / 5:
T-duality and D-branes / 6:
The heterotic string / 7:
M-theory and string duality / 8:
String geometry / 9:
Flux compactifications / 10:
Black holes in string theory / 11:
Gauge theory/string theory dualities / 12:
References
Index
Introduction / 1:
The bosonic string / 2:
Conformal field theory and string interactions / 3:
3.

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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4.

図書

図書
Elias Kiritsis
出版情報: Princeton, N.J. : Princeton University Press, c2019  xxiv, 855 p. ; 26 cm
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5.

図書

図書
Richard J. Szabo
出版情報: London : Imperial College Press, c2011  xv, 148 p. ; 24 cm
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目次情報: 続きを見る
Preface to Second Edition
Preface to First Edition
A Brief History of String Theory / Chapter 1:
Classical String Theory / Chapter 2:
The Relativistic Particle / 2.1:
Reparametrization Invariance / 2.1.1:
Examples / 2.1.2:
The Bosonic String / 2.2:
Worldsheet Symmetries / 2.2.1:
String Equations of Motion / 2.3:
Mode Expansions / 2.3.1:
Mass-Shell Constraints / 2.3.2:
Quantization of the Bosonic String / Chapter 3:
Canonical Quantization / 3.1:
Normal Ordering / 3.1.1:
The Physical String Spectrum / 3.2:
The Open String Spectrum / 3.2.1:
The Closed String Spectrum / 3.2.2:
Worldsheet-Spacetime Interplay / 3.2.3:
Vertex Operators / 3.3:
String Perturbation Theory / 3.3.1:
Chan-Paton Factors / 3.5:
Superstrings / Chapter 4:
Motivation / 4.1:
The RNS Superstring / 4.2:
The Superstring Spectrum / 4.2.1:
The Open Superstring Spectrum / 4.3.1:
The Closed Superstring Spectrum / 4.3.2:
The GSO Projection / 4.4:
Spacetime Supersymmetry / 4.4.1:
Example: One-Loop Vacuum Amplitude / 4.5:
Fermionic Spin Structures / 4.5.1:
Ramond-Ramond Charges and T-Duality / Chapter 5:
Ramond-Ramond Charges / 5.1:
Remarks on Superstring Types / 5.1.1:
Type II Ramond-Ramond States / 5.1.2:
T-Duality for Closed Strings / 5.1.3:
String Geometry / 5.2.1:
T-Duality for Open Strings / 5.3:
T-Duality for Type II Superstrings / 5.4:
D-Branes and Gauge Theory / Chapter 6:
D-Branes / 6.1:
Wilson Lines / 6.2:
D-Brane Terminology / 6.2.1:
Collective Coordinates for D-Branes / 6.3:
Non-Abelian Gauge Symmetry / 6.3.1:
The Born-Infeld Action / 6.4:
D-Brane Dynamics / Chapter 7:
The Dirac-Born-Infeld Action / 7.1:
Example / 7.1.1:
Supergravity Couplings / 7.1.2:
Supersymmetric Yang-Mills Theory / 7.2:
Forces Between D-Branes / 7.2.1:
BPS States / 7.3.1:
Ramond-Ramond Couplings of D-Branes / Chapter 8:
D-Brane Anomalies / 8.1:
Chern-Simons Actions / 8.2:
Branes within Branes / 8.3:
Solutions to Exercises / Chapter 9:
Bibliography
Index
Preface to Second Edition
Preface to First Edition
A Brief History of String Theory / Chapter 1:
6.

図書

図書
edited by I.G. Halliday
出版情報: Bristol : Hilger, c1987  x, 232 p. ; 24 cm
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7.

図書

図書
Pierre Deligne ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  2 v. (xxii, 1501 p.) ; 27 cm
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目次情報: 続きを見る
Classical Fields and Supersymmetry: Notes on supersymmetry (following Joseph Bernstein) / P. Deligne ; J. W. MorganVolume 1, Part 1:
Notes on spinors
Classical field theory / D. S. Freed
Supersolutions
Sign manifesto
Formal Aspects of QFT: Note on quantization / Volume 1, Part 2:
Introduction to QFT / D. Kazhdan
Perturbative quantum field theory / E. Witten
Index of Dirac operators
Elementary Introduction to quantum field theory / L. Faddeev
Renormalization groups / D. Gross
Note on dimensional regularization / P. Etingof
Homework
Index
Conformal Field Theory and Strings: Lectures on conformal field theory / K. GawedzkiVolume 2, Part 3:
Perturbative string theory / E. D'Hoker
Super space descriptions of super gravity
Notes on 2d conformal field theory and string theory / D. Gaitsgory
Kaluza-Klein compactifications, supersymmetry, and Calabi-Yau spaces / A. Strominger
Dynamical Aspects of QFT: Dynamics of Quantum Field Theory / Volume 2, Part 4:
$N = 1$ supersymmetric field theories in four dimensions / N. Sieberg
Classical Fields and Supersymmetry: Notes on supersymmetry (following Joseph Bernstein) / P. Deligne ; J. W. MorganVolume 1, Part 1:
Notes on spinors
Classical field theory / D. S. Freed
8.

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
9.

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
10.

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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