Three-dimensional higher-spin gravity and asymptotic symmetries:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 137 - 145; Zsfassung in dt. Sprache |
| Beschreibung: | VIII, 145 S. graph. Darst. |
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Datensatz im Suchindex
| _version_ | 1804150142560894976 |
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| adam_text | IMAGE 1
C O N T E N T S
INTRODUCTION 1
1 T H R E E DIMENSIONAL EINSTEIN-HILBERT GRAVITY 1 1
1.1 THE USUAL METRIC FORMULATION 11
1.2 CHERN-SIMONS FORMULATION 16
2 INTRODUCTION T O FREE MASSLESS HIGHER-SPIN FIELDS 2 3
2.1 FREE THEORY IN FLAT MINKOWSKI AND ADS BACKGROUND 23
2.2 FRAME-LIKE FORMULATION FOR FREE HIGHER-SPIN THEORIES IN 3D 28
3 3 D HIGHER-SPIN GRAVITY USING CHERN-SIMONS T H E O R Y 3 1
3.1 CONDITIONS ON THE COUPLING OF A SPIN-S FIELD TO 3D GRAVITY 31
3.2 INTERACTING THEORY OF 3D GRAVITY AND A SPIN-3 FIELD 35
3.3 COUPLING MORE HIGHER-SPIN FIELDS TO GRAVITY 41
4 CHERN-SIMONS T H E O R Y W I T H B O U N D A R Y 4 7
4.1 GENERAL REMARKS ON GAUGE THEORIES WITH BOUNDARY 47
4.2 TOPOLOGY AND THE INDUCED CONFORMAL STRUCTURE OF THE BOUNDARY OF ADS
SPACETIME 49
4.3 GLOBAL SYMMETRY ALGEBRA OF CHERN-SIMONS THEORIES WITH BOUNDARY 51
5 A S Y M P T O T I C S Y M M E T R I E S 5 7
5.1 ADS ASYMPTOTIC BOUNDARY CONDITIONS 57
5.2 ASYMPTOTIC SYMMETRY ALGEBRA VIA DIRAC BRACKETS 61
5.3 ASYMPTOTIC SYMMETRIES FROM DRINFELD-SOKOLOV REDUCTION 64
5.3.1 ASYMPTOTIC SYMMETRY ALGEBRA FOR PURE GRAVITY COUPLED TO A SPIN-3
FIELD . 64
5.3.2 DRINFELD-SOKOLOV REDUCTION IN HIGHEST WEIGHT GAUGE 67
5.3.3 PROPERTIES OF THE ASYMPTOTIC SYMMETRY ALGEBRA FOR GENERIC G 77
5.3.4 ASYMPTOTIC SYMMETRIES FOR CHERN-SIMONS THEORIES OF SL( 3,K) AND
SI(4,R) WITH NON-PRINCIPAL EMBEDDINGS OF SI (2, M) 80
5.4 W QO [A] AS THE ASYMPTOTIC SYMMETRY ALGEBRA OF HS [A] 84
5.4.1 THE HIGHER-SPIN ALGEBRAS HS[ A] HS[ ] 85
VII
HTTP://D-NB.INFO/1036434818
IMAGE 2
CONTENTS
5.4.2 GAUGE TRANSFORMATIONS PRESERVING THE HIGHEST-WEIGHT GAUGE 88
5.4.3 POISSON BRACKET ALGEBRA 93
6 METRIC-LIKE T H E O R Y 95
6.1 METRIC-LIKE FIELDS FROM GENERALIZED VIELBEINS AND THE TRANSLATION OF
ADS ASYMPTOTIC SOLUTIONS 97
6.2 CONSTRUCTION OF A METRIC-LIKE THEORY 99
6.3 ALGEBRA OF GAUGE TRANSFORMATIONS 103
6.4 TRANSLATING GAUGE TRANSFORMATIONS FROM THE FRAME-LIKE THEORY 107
6.4.1 ELIMINATION OF THE SPIN-CONNECTIONS 108
6.4.2 HIGHER-SPIN DIFFEOMORPHISMS VS LOCAL TRANSLATIONS 109
6.4.3 METRIC-LIKE TRANSFORMATIONS FROM CHERN-SIMONS 110
7 CONCLUSIONS A N D O U T L O O K 1 1 3
7.1 CONCLUSIONS 113
7.2 OUTLOOK 116
A N O T A T I O N S A N D CONVENTIONS 1 1 7
A . L CONVENTIONS 117
B A D D E N D U M T O C H A P T E R 4 1 2 1
B . L DIRAC BRACKET ALGEBRA IN MODES 121
C A D D E N D U M T O C H A P T E R 5 1 2 3
C . L STRUCTURE CONSTANTS OF HS [A] 123
C.2 STRUCTURE CONSTANTS OF WOO [A] 123
C.3 POISSON BRACKETS OF AND WOO[A] 128
D A D D E N D U M T O C H A P T E R 6 131
D . L SPIN-3 TRANSFORMATION OF THE METRIC 131
D.2 ENERGY-MOMENTUM TENSOR TO QUADRATIC ORDER IN P 132
BIBLIOGRAPHY 1 3 3
VIII
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| any_adam_object | 1 |
| author | Pfenninger, Stefan |
| author_facet | Pfenninger, Stefan |
| author_role | aut |
| author_sort | Pfenninger, Stefan |
| author_variant | s p sp |
| building | Verbundindex |
| bvnumber | BV040803468 |
| classification_rvk | UH 8300 UK 2000 |
| ctrlnum | (OCoLC)844035273 (DE-599)BVBBV040803468 |
| dewey-full | 530.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14 |
| dewey-search | 530.14 |
| dewey-sort | 3530.14 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV040803468 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:34:13Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025783529 |
| oclc_num | 844035273 |
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| owner_facet | DE-11 DE-706 DE-188 DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-29T |
| physical | VIII, 145 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
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| spelling | Pfenninger, Stefan Verfasser aut Three-dimensional higher-spin gravity and asymptotic symmetries von Stefan Pfenninger 2012 VIII, 145 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 137 - 145; Zsfassung in dt. Sprache Berlin, Humboldt-Univ., Diss., 2012 W-Algebra (DE-588)4355406-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Eichtheorie (DE-588)4122125-4 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Relativitätstheorie (DE-588)4049363-5 s Gravitationstheorie (DE-588)4158117-9 s Differentialgeometrie (DE-588)4012248-7 s Eichtheorie (DE-588)4122125-4 s W-Algebra (DE-588)4355406-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025783529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pfenninger, Stefan Three-dimensional higher-spin gravity and asymptotic symmetries W-Algebra (DE-588)4355406-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Eichtheorie (DE-588)4122125-4 gnd Relativitätstheorie (DE-588)4049363-5 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
| subject_GND | (DE-588)4355406-4 (DE-588)4012248-7 (DE-588)4122125-4 (DE-588)4049363-5 (DE-588)4158117-9 (DE-588)4113937-9 |
| title | Three-dimensional higher-spin gravity and asymptotic symmetries |
| title_auth | Three-dimensional higher-spin gravity and asymptotic symmetries |
| title_exact_search | Three-dimensional higher-spin gravity and asymptotic symmetries |
| title_full | Three-dimensional higher-spin gravity and asymptotic symmetries von Stefan Pfenninger |
| title_fullStr | Three-dimensional higher-spin gravity and asymptotic symmetries von Stefan Pfenninger |
| title_full_unstemmed | Three-dimensional higher-spin gravity and asymptotic symmetries von Stefan Pfenninger |
| title_short | Three-dimensional higher-spin gravity and asymptotic symmetries |
| title_sort | three dimensional higher spin gravity and asymptotic symmetries |
| topic | W-Algebra (DE-588)4355406-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Eichtheorie (DE-588)4122125-4 gnd Relativitätstheorie (DE-588)4049363-5 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
| topic_facet | W-Algebra Differentialgeometrie Eichtheorie Relativitätstheorie Gravitationstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025783529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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