超对称和超引力
2009-8
世界图书出版公司
维斯
259
无
The strong interest with which these lectures on supersymmetry and supergravity were received at Princeton University encouraged me tomake their contents accessible to a larger audience. They are not a sys-tematic review of the subject. Instead， they offer an introduction to theapproach followed by Bruno Zumino and myself in our attempt todevelop and understand the structure of supersymmetry and supergravity. This book consists of two parts. The first develops a formalism whichallows us to construct supersymmetric gauge theories. The second partextends this formalism to local supersymmetry transformations. At the end of each chapter， two papers are cited which I recommendto the reader. I am aware that this selection does not do justice to manyauthors who have contributed to the subject. However， I would like todraw attention to the more complete lists of references found in P. Fayetand S. Ferrara， Supersymrnetry， Physics Reports 32C， No. 5， 1977， andP. Van Nieuwenhuizen， Supergravity， Physics Reports 68C， No. 4， 1981. Throughout the text， important equations are numbered in boldface.They are collected at the end of each chapter. Exercises are also includedalong with each chapter; many of them contain information essential toa deeper understanding of the subject. This book was prepared in collaboration with Jonathan Bagger， withoutwhom it would never have been written. Both Jon and I would like tothank Winnie Waring for her devoted assistance in the preparation of themanuscript. As a tribute to her high standards， we have tried our bestto avoid errors in factors and signs. Many people have helped eliminatethese errors. In particular， we would like to thank Martin Muller forhis assistance with the second half of the book.
This book was prepared in collaboration with Jonathan Bagger， withoutwhom it would never have been written. Both Jon and I would like tothank Winnie Waring for her devoted assistance in the preparation of themanuscript. As a tribute to her high standards， we have tried our bestto avoid errors in factors and signs. Many people have helped eliminatethese errors. In particular， we would like to thank Martin Muller forhis assistance with the second half of the book.
PREFACE TO THE SECOND EDITIONPREFACEI.WHY SUPERSYMMETRY?II.REPRESENTATIONS OF THE SUPERSYMMETRY ALGEBRAIII.COMPONENT FIELDSIV.SUPERFIELDSV.CHIRAL SUPERFIELDSVI.VECTOR SUPERFIELDSVII.GAUGE INVARIANT INTERACTIONSVIII.SPONTANEOUS SYMMETRY BREAKINGIX.SUPERFIELD PROPAGATORSX.FEYNMAN RULES FOR SUPERGRAPHSXI.NONLINEAR REALIZATIONSXII.DIFFERENTIAL FORMS IN SUPERSPACEXIII.GAUGE THEORIES REVISITEDXIV.VIELBEIN, TORSION, AND CURVATUREXV.BIANCHI IDENTITIESXVI.SUPERGAUGE TRANSFORMATIONSXVII.THE 0=0 =0 COMPONENTS OF THE VIELBEIN, CONNECTION, TORSION, AND CURVATUREXVIII.THE SUPERGRAVITY MULTIPLETXIX.CHIRAL AND VECTOR SUPERFIELDS IN CURVED SPACEXX.NEW VARIABLES AND THE CHIRAL DENSITYXXI.THE MINIMAL CHIRAL SUPERGRAVITY MODELXXII.CHIRAL MODELS AND KAHLER GEOMETRYXXIII.GENERAL CHIRAL SUPERGRAVITY MODELSXXIV.GAUGE INVARIANT MODELSXXV.GAUGE INVARIANT SUPERGRAVITY MODELSXXVI.LOW-ENERGY THEOREMSAPPENDIX A: Notation and Spinor AlgebraAPPENDIX B: Results in Spinor AlgebraAPPENDIX C: Kahler GeometryAPPENDIX D: Isometries and Kahler GeometryAPPENDIX E: Nonlinear RealizationsAPPENDIX F: Nonlinear Realizations and Invariant ActionsAPPENDIX G: Gauge Invariant Supergravity Models
many of them contain information essential toa deeper understanding of the subject.
无