Ideas and methods of supersymmetry and supergravity: or A walk through superspace
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Bristol u.a.
Inst. of Physics Publ.
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 640 S. |
| ISBN: | 0750302585 |
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| 245 | 1 | 0 | |a Ideas and methods of supersymmetry and supergravity |b or A walk through superspace |c Ioseph L. Buchbinder and Sergei M. Kuzenko |
| 264 | 1 | |a Bristol u.a. |b Inst. of Physics Publ. |c 1995 | |
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| 650 | 4 | |a Supersymétrie | |
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Record in the Search Index
| _version_ | 1804124921128812544 |
|---|---|
| adam_text | IDEAS AND METHODS OF SUPERSYMMETRY AND SUPERGRAVITY OR A WALK THROUGH
SUPERSPACE IOSEPH L BUCHBINDER AND SERGEI M KUZENKO TOMSK STATE
UNIVERSITY, RUSSIA INSTITUTE OF PHYSICS PUBLISHING BRISTOL AND
PHILADELPHIA CONTENTS PREFACE XVII 1 MATHEMATICAL BACKGROUND 1 1.1 THE
POINCARE GROUP, THE LORENTZ GROUP 1 1.1.1 DEFINITIONS 1 1.1.2 USEFUL
DECOMPOSITION IN SO(3, IF 3 1.1.3 UNIVERSAL COVERING GROUP OF THE
LORENTZ GROUP 4 1.1.4 UNIVERSAL COVERING GROUP OF THE POINCARE GROUP 6
1.2 FINITE-DIMENSIONAL REPRESENTATIONS OF SPIN{3, 1) 7 1.2.1 CONNECTION
BETWEEN REPRESENTATIONS OF SO(3,1) T AND SL(2,C) -* 1.2.2 CONSTRUCTION
OF SL(2, C) IRREDUCIBLE REPRESENTATIP,N| ( ;F- E5, 1.2.3 INVARIANT
LORENTZ TENSORS . V. * .. V**LL A , . * ,».(»» *» 1.3 THE LORENTZ
ALGEBRA , *}*» 13 J 1.4 TWO-COMPONENT AND FOUR-COMPONENT SPINORS , ]PF
1.4.1 TWO-COMPONENT SPINORS ... 18 1.4.2 DIRAC SPINORS 19 1.4.3 WEYL
SPINORS 21 1.4.4 MAJORANA SPINORS 21 1.4.5 THE REDUCTION RULE AND THE
FIERZ IDENTITY 22 1.4.6 TWO-COMPONENT AND FOUR-COMPONENT BI-LINEAR
COMBINATIONS 23 1.5 REPRESENTATIONS OF THE POINCARE GROUP 23 1.5.1 THE
POINCARE ALGEBRA 23 1.5.2 FIELD REPRESENTATIONS 26 1.5.3 UNITARY
REPRESENTATIONS 26 1.5.4 STABILITY SUBGROUP 27 1.5.5 MASSIVE IRREDUCIBLE
REPRESENTATIONS 28 1.5.6 MASSLESS IRREDUCIBLE REPRESENTATIONS 30 VI
CONTENTS 1.6 ELEMENTS OF DIFFERENTIAL GEOMETRY AND GRAVITY 32 1.6.1
LORENTZ MANIFOLDS 32 1.6.2 COVARIANT DIFFERENTIATION OF WORLD TENSORS 35
1.6.3 COVARIANT DIFFERENTIATION OF THE LORENTZ TENSOR 36 1.6.4 FRAME
DEFORMATIONS 38 1.6.5 THE WEYL TENSOR 39 1.6.6 FOUR-DIMENSIONAL
TOPOLOGICAL INVARIANTS 40 1.6.7 EINSTEIN GRAVITY AND CONFORMAL GRAVITY
41 1.6.8 ENERGY-MOMENTUM TENSOR 43 1.6.9 THE COVARIANT DERIVATIVES
ALGEBRA IN SPINOR NOTATION 44 1.7 THE CONFORMAL GROUP 45 1.7.1 CONFORMAL
KILLING VECTORS 45 1.7.2 CONFORMAL KILLING VECTORS IN MINKOWSKI SPACE 46
1.7.3 THE CONFORMAL ALGEBRA 47 1.7.4 CONFORMAL TRANSFORMATIONS 48 1.7.5
MATRIX REALIZATION OF THE CONFORMAL GROUP 50 1.7.6 CONFORMAL INVARIANCE
51 1.7.7 EXAMPLES OF CONFORMALLY INVARIANT THEORIES 53 1.7.8 EXAMPLE OF
A NON-CONFORMAL MASSLESS THEORY 55 1.8 THE MASS-SHELL FIELD
REPRESENTATION 56 1.8.1 MASSIVE FIELD REPRESENTATIONS OF THE POINCARE
GROUP 56 1.8.2 REAL MASSIVE FIELD REPRESENTATIONS 59 1.8.3 MASSLESS
FIELD REPRESENTATIONS OF THE POINCARE GROUP 61 1.8.4 EXAMPLES OF
MASSLESS FIELDS 62 1.8.5 MASSLESS FIELD REPRESENTATIONS OF THE CONFORMAL
GROUP 66 1.9 ELEMENTS OF ALGEBRA WITH SUPERNUMBERS 68 1.9.1 GRASSMANN
ALGEBRAS A N AND A^ 70 1.9.2 SUPERVECTOR SPACES 72 1.9.3
FINITE-DIMENSIONAL SUPERVECTOR SPACES 74 1.9.4 LINEAR OPERATORS AND
SUPERMATRICES 77 1.9.5 DUAL SUPERVECTOR SPACES, SUPERTRANSPOSITION 85
1.9.6 BI-LINEAR FORMS 88 1.10 ELEMENTS OF ANALYSIS WITH SUPERNUMBERS 91
1.10.1 SUPERFUNCTIONS 91 1.10.2 INTEGRATION OVER R PL 96 1.10.3 LINEAR
REPLACEMENTS OF VARIABLES ON U P ^ Q 101 1.10.4 C-TYPE SUPERMATRICES
REVISITED 103 1.11 THE SUPERGROUP OF GENERAL COORDINATE TRANSFORMATIONS
ON R PL 106 1.11.1 THE EXPONENTIAL FORM FOR GENERAL SUPERCOORDINATE
TRANSFORMATIONS ^ 107 1.11.2 THE OPERATORS K AND K 109 CONTENTS VII
1.11.3 THEOREM 110 1.11.4 THE TRANSFORMATION LAW FOR THE VOLUME ELEMENT
ON W^ 112 1.11.5 BASIC PROPERTIES OF INTEGRATION THEORY OVER W^ 2Q 113 2
SUPERSYMMETRY AND SUPERSPACE 117 2.0 INTRODUCTION: FROM W^ Q TO
SUPERSYMMETRY 117 2.1 SUPERALGEBRAS, GRASSMANN SHELLS AND SUPER LIE
GROUPS 121 2.1.1 SUPERALGEBRAS 122 2.1.2 EXAMPLES OF SUPERALGEBRAS 124
2.1.3 THE GRASSMANN SHELL OF A SUPERALGEBRA 125 2.1.4 EXAMPLES OF
BEREZIN SUPERALGEBRAS AND SUPER LIE ALGEBRAS 128 2.1.5 REPRESENTATIONS
OF (BEREZIN) SUPERALGEBRAS AND . SUPER LIE ALGEBRAS 132 2.1.6 SUPER LIE
GROUPS 135 2.1.7 UNITARY REPRESENTATIONS OF REAL SUPERALGEBRAS 137 2.2
THE POINCARE SUPERALGEBRA 138 2.2.1 UNIQUENESS OF THE N = 1 POINCARE
SUPERALGEBRA 138 2.2.2 EXTENDED POINCARE SUPERALGEBRAS 141 2.2.3 MATRIX
REALIZATION OF THE POINCARE SUPERALGEBRA 143 2.2.4 GRASSMANN SHELL OF
THE POINCARE SUPERALGEBRA 144 2.2.5 THE SUPER POINCARE GROUP 145 2.3
UNITARY REPRESENTATION OF THE POINCARE SUPERALGEBRA 146 2.3.1 POSITIVITY
OF ENERGY 146 2.3.2 CASIMIR OPERATORS OF THE POINCARE SUPERALGEBRA 147
2.3.3 MASSIVE IRREDUCIBLE REPRESENTATIONS 149 2.3.4 MASSLESS IRREDUCIBLE
REPRESENTATIONS 152 2.3.5 SUPERHELICITY 153 2.3.6 EQUALITY OF BOSONIC
AND FERMIONIC DEGREES OF FREEDOM 154 2.4 REAL SUPERSPACE IR 4 4 AND
SUPERFIELDS 155 2.4.1 MINKOWSKI SPACE AS THE COSET SPACE TL/SO(3, 1) T
155 2.4.2 REAL SUPERSPACE [R 414 157 2.4.3 SUPERSYMMETRIC INTERVAL 160
2.4.4 SUPERFIELDS 160 2.4.5 SUPERFIELD REPRESENTATIONS OF THE SUPER
POINCARE GROUP 162 2.5 COMPLEX SUPERSPACE C 4 2 , CHIRAL SUPERFIELDS
AND COVARIANT DERIVATIVES 165 2.5.1 COMPLEX SUPERSPACE C 4 2 166 2.5.2
HOLOMORPHIC SUPERFIELDS 167 VIII CONTENTS 2.5.3 1R 414 AS A SURFACE IN C
412 168 2.5.4 CHIRAL SUPERFIELDS 169 2.5.5 COVARIANT DERIVATIVES 170
2.5.6 PROPERTIES OF COVARIANT DERIVATIVES 171 2.6 THE ON-SHELL MASSIVE
SUPERFIELD REPRESENTATIONS 172 2.6.1 ON-SHELL MASSIVE SUPERFIELDS 173
2.6.2 EXTENDED SUPER POINCARE ALGEBRA 174 2.6.3 THE SUPERSPIN OPERATOR
175 2.6.4 DECOMPOSITION OF ^C { 2,B) MT0 IRREDUCIBLE REPRESENTATIONS
176 2.6.5 PROJECTION OPERATORS 179 2.6.6 REAL REPRESENTATIONS 179 2.7
THE ON-SHELL MASSLESS SUPERFIELD REPRESENTATIONS 181 * 2.7.1 CONSISTENCY
CONDITIONS 181 2.7.2 ON-SHELL MASSLESS SUPERFIELDS 182 2.7.3
SUPERHELICITY 185 2.8 FROM SUPERFIELDS TO COMPONENT FIELDS 186 2.8.1
CHIRAL SCALAR SUPERFIELD 186 2.8.2 CHIRAL TENSOR SUPERFIELD OF LORENTZ
TYPE (N/2,0) 188 2.8.4 LINEAR REAL SCALAR SUPERFIELD 191 2.9 THE
SUPERCONFORMAL GROUP 191 2.9.1 SUPERCONFORMAL TRANSFORMATIONS 192 2.9.2
THE SUPERSYMMETRIC INTERVAL AND SUPERCONFORMAL TRANSFORMATIONS 194 2.9.3
THE SUPERCONFORMAL ALGEBRA 195 3 FIELD THEORY IN SUPERSPACE 198 3.1
SUPERSYMMETRIC FIELD THEORY 198 3.1.1 QUICK REVIEW OF FIELD THEORY 198
3.1.2 THE SPACE OF SUPERFIELD HISTORIES; THE ACTION SUPERFUNCTIONAL 201
3.1.3 INTEGRATION OVER R 4 4 AND SUPERFUNCTIONAL DERIVATIVES 202 3.1.4
LOCAL SUPERSYMMETRIC FIELD THEORIES 208 3.1.5 MASS DIMENSIONS 211 3.1.6
QHIRAL REPRESENTATION 211 3.2 WESS-ZUMINO MODEL 213 3.2.1 MASSIVE CHIRAL
SCALAR SUPERFIELD MODEL 213 3.2.2 MASSLESS CHIRAL SCALAR SUPERFIELD
MODEL 215 3.2.3 WESS-ZUMINO MODEL 215 3.2.4 WESS-ZUMINO MODEL IN
COMPONENT FORM 216 CONTENTS IX 3.2.5 AUXILIARY FIELDS 217 3.2.6
WESS-ZUMINO MODEL AFTER AUXILIARY FIELD ELIMINATIONS 218 3.2.7
GENERALIZATION OF THE MODEL 220 3.3 SUPERSYMMETRIC NONLINEAR
SIGMA-MODELS 221 3.3.1 FOUR-DIMENSIONAL CR-MODELS 221 3.3.2
SUPERSYMMETRIC 3.3.3 KAHLER MANIFOLDS 224 3.3.4 KAHLER GEOMETRY AND
SUPERSYMMETRIC C-MODELS 226 3.4 VECTOR MULTIPLET MODELS 228 3.4.1
MASSIVE VECTOR MULTIPLET MODEL 228 3.4.2 MASSLESS VECTOR MULTIPLET MODEL
230 3.4.3 WESS-ZUMINO GAUGE 230 P 3.4.4 SUPERSYMMETRY TRANSFORMATIONS
232 3.4.5 SUPER LORENTZ GAUGE 233 3.5 SUPERSYMMETRIC YANG-MILLS THEORIES
233 3.5.1 SUPERSYMMETRIC SCALAR ELECTRODYNAMICS 234 3.5.2 SUPERSYMMETRIC
SPINOR ELECTRODYNAMICS 237 3.5.3 NON-ABELIAN GAUGE SUPERFIELD 238 3.5.4
INFINITESIMAL GAUGE TRANSFORMATIONS 239 3.5.5 SUPER YANG-MILLS ACTION
241 3.5.6 SUPER YANG-MILLS MODELS 243 3.5.7 REAL REPRESENTATION 244 3.6
GEOMETRIC APPROACH TO SUPER YANG-MILLS THEORIES 245 3.6.1 COMPLEX AND
C-NUMBER SHELLS OF COMPACT LIE GROUPS 245 3.6.2 K-SUPERGROUP AND
A-SUPERGROUP 247 3.6.3 GAUGE SUPERFIELD 249 3.6.4 GAUGE COVARIANT
DERIVATIVES 251 3.6.5 MATTER EQUATIONS OF MOTION 255 3.6.6 GAUGE
SUPERFIELD DYNAMICAL EQUATIONS 255 3.7 CLASSICALLY EQUIVALENT THEORIES
257 3.7.1 MASSIVE CHIRAL SPINOR SUPERFIELD MODEL 257 3.7.2 MASSLESS
CHIRAL SPINOR SUPERFIELD MODEL 259 3.7.3 SUPERFIELD REDEFINITIONS 261 4
QUANTIZED SUPERFIELDS 263 4.1 PICTURE-CHANGE OPERATORS 263 4.1.1
FUNCTIONAL SUPERMATRICES 264 4.1.2 SUPERFUNCTIONAL SUPERMATRICES 266
4.1.3 (SUPER) FUNCTIONAL DERIVATIVES 271
|
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| id | DE-604.BV010489194 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:53:20Z |
| institution | BVB |
| isbn | 0750302585 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006988678 |
| oclc_num | 31290953 |
| open_access_boolean | |
| owner | DE-384 DE-20 DE-91G DE-BY-TUM |
| owner_facet | DE-384 DE-20 DE-91G DE-BY-TUM |
| physical | XIX, 640 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Inst. of Physics Publ. |
| record_format | marc |
| spelling | Buchbinder, Ioseph L. Verfasser aut Ideas and methods of supersymmetry and supergravity or A walk through superspace Ioseph L. Buchbinder and Sergei M. Kuzenko Bristol u.a. Inst. of Physics Publ. 1995 XIX, 640 S. txt rdacontent n rdamedia nc rdacarrier Champs, Théorie quantique des Champs, Théorie quantique des ram Supergravité Supergravité ram Supersymétrie Supersymétrie ram Quantum field theory Supergravity Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Supergravitation (DE-588)4184109-8 gnd rswk-swf Supersymmetrie (DE-588)4128574-8 s DE-604 Supergravitation (DE-588)4184109-8 s 1\p DE-604 Kuzenko, Sergei M. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006988678&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Buchbinder, Ioseph L. Kuzenko, Sergei M. Ideas and methods of supersymmetry and supergravity or A walk through superspace Champs, Théorie quantique des Champs, Théorie quantique des ram Supergravité Supergravité ram Supersymétrie Supersymétrie ram Quantum field theory Supergravity Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd Supergravitation (DE-588)4184109-8 gnd |
| subject_GND | (DE-588)4128574-8 (DE-588)4184109-8 |
| title | Ideas and methods of supersymmetry and supergravity or A walk through superspace |
| title_auth | Ideas and methods of supersymmetry and supergravity or A walk through superspace |
| title_exact_search | Ideas and methods of supersymmetry and supergravity or A walk through superspace |
| title_full | Ideas and methods of supersymmetry and supergravity or A walk through superspace Ioseph L. Buchbinder and Sergei M. Kuzenko |
| title_fullStr | Ideas and methods of supersymmetry and supergravity or A walk through superspace Ioseph L. Buchbinder and Sergei M. Kuzenko |
| title_full_unstemmed | Ideas and methods of supersymmetry and supergravity or A walk through superspace Ioseph L. Buchbinder and Sergei M. Kuzenko |
| title_short | Ideas and methods of supersymmetry and supergravity |
| title_sort | ideas and methods of supersymmetry and supergravity or a walk through superspace |
| title_sub | or A walk through superspace |
| topic | Champs, Théorie quantique des Champs, Théorie quantique des ram Supergravité Supergravité ram Supersymétrie Supersymétrie ram Quantum field theory Supergravity Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd Supergravitation (DE-588)4184109-8 gnd |
| topic_facet | Champs, Théorie quantique des Supergravité Supersymétrie Quantum field theory Supergravity Supersymmetry Supersymmetrie Supergravitation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006988678&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT buchbinderiosephl ideasandmethodsofsupersymmetryandsupergravityorawalkthroughsuperspace AT kuzenkosergeim ideasandmethodsofsupersymmetryandsupergravityorawalkthroughsuperspace |