Superstring Theory Volume 1, Introduction
Michael B. Green, John H. Schwarz, Edward Witten
Contents
Preface;
1. Introduction;
2. Free bosonic strings;
3. Modern covariant quantization;
4. World-sheet supersymmetry in string theory;
5. Space-time supersymmetry in string theory;
6. Nonabelian gauge symmetry;
7. Tree amplitudes; Bibliography;
Index.
Superstring Theory Volume 2, Loop Amplitudes, Anomalies and Phenomenology
Michael B. Green, John H. Schwarz, Edward Witten
Contents
Preface;
8. One-loop diagrams in the bosonic string theory;
9. One-loop diagrams in superstring theory;
10. The gauge anomaly in type I superstring theory;
11. Functional methods in the light-cone gauge;
12. Some differential geometry;
13. Low-energy effective action;
14. Compactification of higher dimensions;
15. Some algebraic geometry;
16. Models of low-energy supersymmetry;
Bibliography;
Index.
String Theory Volume 1, An Introduction to the Bosonic String
Joseph Polchinski
Contents
1. A first look at strings;
2. Conformal field theory;
3. The Polyakov path integral;
4. The string spectrum;
5. The string S-matrix;
6. Tree level amplitudes;
7. One loop amplitudes;
8. Toroidal compactification and T-duality;
9. Higher order amplitudes;
Appendix A: A short course on path integrals;
References;
Glossary;
Index.
String Theory Volume 2, Superstring Theory and Beyond
Joseph Polchinski
Contents
10. Type I and type II superstrings;
11. The heterototic string;
12. Superstring interactions;
13. D-branes;
14. Strings at strong coupling;
15. Advanced conformal field theory;
16. Orbifolds;
17. Calabi-Yau compactification;
18. Spacetime physics;
19. Advanced topics;
Appendix B: Spinors and SUSY in various dimensions;
References;
Glossary;
Index.
Contents
Part I. Basics:
1. A brief introduction;
2. Special relativity and extra dimensions;
3. Electromagnetism and gravitation;
4. Non-relativistic strings;
5. The relativistic point particle;
6. Relativistic strings;
7. String parameterization and motion;
8. World-sheet currents;
9. Light-cone relativistic strings;
10. Light-cone fields and particles;
11. Relativistic quantum particles;
12. Quantum open strings;
13. Quantum closed strings;
Part II. Developments:
14. D-branes and gauge fields;
15. String charge, electric charge, and particle physics;
16. String thermodynamics and black holes;
17. T-duality of closed strings;
18. T-duality of open strings;
19. Electromagnetic fields on D-branes;
20. Nonlinear electrodynamics;
21. Covariant string quantization;
22. Interactions and Riemann surfaces;
23. Loop amplitudes in string theory;
References;
Index.
Contents
Part I. Introduction to Gravity and Supergravity:
1. Differential geometry;
2. Noether's theorems;
3. A perturbative introduction to GR;
4. Action principles for gravity;
5. N = 1, 2, d = 4 Supergravities;
6. Conserved charges in GR;
Part II. Gravitating Point-Particles:
7. The Schwarzschild black hole;
8. The Reissner-Nordstrom BH;
9. The Taub-NUT solution;
10. Gravitational pp-waves;
11. The Kaluza-Klein black hole;
12. Dilaton and dilaton/axion BHs;
13. Unbroken supersymmetry;
Part III. Gravitating Extended Objects of String Theory:
14. String theory;
15. The string effective action and T duality;
16. From eleven to four dimensions;
17. The type IIB superstring and type II T duality;
18. Extended objects;
19. The extended objects of string theory;
20. String black holes in four and five dimensions;
Appendix A. Lie groups, symmetric spaces and Yang-Mills fields;
Appendix B. Gamma matrices and spinors;
Appendix C. n-Spheres;
Appendix D. Palatini's identity;
Appendix E. Conformal rescalings;
Appendix F. Connections and curvature components;
Appendix G. The harmonic operator on R3 x S 1;
References;
Index.
Contents
Preface;
1. Overview and overture;
2. Relativistic strings;
3. A closer look at the world-sheet;
4. Strings on circles and T-duality;
5. Background fields and world-volume actions;
6. D-branes tension and boundary states;
7. Supersymmetric strings;
8. Supersymmetric strings and T-duality;
9. World-volume curvature couplings;
10. The geometry of D-branes;
11. Multiple D-branes and bound states;
12. Strong coupling and string duality;
13. D-branes and geometry I;
14. K3 orientifolds and compactification;
15. D-branes and geometry II;
16. Towards M- and F-theory;
17. D-branes and black holes;
18. D-branes, gravity and gauge theory;
19. The holographic renormalisation group;
20. Taking stock.
Topology, Geometry and Quantum Field Theory
Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal
Edited by U. L. Tillmann
Contents
Part I. Contributions:
1. A variant of K-theory Michael Atiyah and Michael Hopkins;
2. Two-vector bundles and forms of elliptic cohomology Nils Baas, Bjorn Dundas and John Rognes;
3. Geometric realisation of the Segal-Sugawara construction David Ben-Zvi and Edward Frenkel;
4. Differential isomorphism and equivalence of algebraic varieties Yuri Berest and George Wilson;
5. A polarized view of string topology Ralph Cohen and Veronique Godin;
6. Random matrices and Calabi-Yau geometry Robbert Dijkgraaf;
7. A survey of the topological properties of symplectomorphism groups Dusa McDuff;
8. K-theory from a physical perspective Gregory Moore;
9. Heisenberg groups and algebraic topology Jack Morava;
10. What is an elliptic object? Stephan Stolz and Peter Teichner;
11. Open and closed string field theory interpreted in classical algebraic topology Dennis Sullivan;
12. K-theory of the moduli of principal bundles on a surface and deformations of the Verlinde algebra Constantin Teleman;
13. Cohomology of the stable mapping class group Michael S. Weiss;
14. Conformal field theory in four and six dimensions Edward Witten;
Part II. The Definition of Conformal Field Theory by Graeme Segal:
15. Definition of a conformal field theory Graeme Segal.
