XIV. VIELBEIN, TORSION, AND CURVATURE

Chapters in this book

1. Frontmatter i
2. CONTENTS vii
3. PREFACE TO THE SECOND EDITION ix
4. PREFACE x
5. I. WHY SUPERSYMMETRY? 1
6. II. REPRESENTATIONS OF THE SUPERSYMMETRY ALGEBRA 11
7. III. COMPONENT FIELDS 21
8. IV. SUPERFIELDS 25
9. V. CHIRAL SUPERFIELDS 30
10. VI. VECTOR SUPERFIELDS 36
11. VII. GAUGE INVARIANT INTERACTIONS 43
12. VIII. SPONTANEOUS SYMMETRY BREAKING 51
13. IX. SUPERFIELD PROPAGATORS 61
14. X. FEYNMAN RULES FOR SUPERGRAPHS 79
15. XI. NONLINEAR REALIZATIONS 88
16. XII. DIFFERENTIAL FORMS IN SUPERSPACE 93
17. XIII. GAUGE THEORIES REVISITED 101
18. XIV. VIELBEIN, TORSION, AND CURVATURE 109
19. XV. BIANCHI IDENTITIES 117
20. XVI. SUPERGAUGE TRANSFORMATIONS 127
21. XVII. THE Ɵ = Ō = 0 COMPONENTS OF THE VIELBEIN, CONNECTION, TORSION, AND CURVATURE 132
22. XVIII. THE SUPERGRAVITY MULTIPLET 140
23. XIX. CHIRAL AND VECTOR SUPERFIELDS IN CURVED SPACE 146
24. XX. NEW Ɵ VARIABLES AND THE CHIRAL DENSITY 155
25. XXI. THE MINIMAL CHIRAL SUPERGRAVITY MODEL 162
26. XXII. CHIRAL MODELS AND KAHLER GEOMETRY 175
27. XXIII. GENERAL CHIRAL SUPERGRAVITY MODELS 180
28. XXIV. GAUGE INVARIANT MODELS 192
29. XXV. GAUGE INVARIANT SUPERGRAVITY MODELS 204
30. XXVI. LOW-ENERGY THEOREMS 217
31. APPENDIX A: Notation and Spinor Algebra 225
32. APPENDIX B: Results in Spinor Algebra 232
33. APPENDIX C: Kahler Geometry 235
34. APPENDIX D: Isometries and Kahler Geometry 239
35. APPENDIX E: Nonlinear Realizations 245
36. APPENDIX F: Nonlinear Realizations and Invariant Actions 253
37. APPENDIX G: Gauge Invariant Supergravity Models 256