Holdings: Lie algebroids, non-associative structures and non-geometric fluxes

Lie algebroids, non-associative structures and non-geometric fluxes:

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Bibliographic Details
Main Author:	Deser, Andreas (Author)
Format:	Thesis Book
Language:	English
Published:	2013
Subjects:	Hochschulschrift
Online Access:	Volltext http://d-nb.info/1041584474/34 kostenfrei Inhaltsverzeichnis
Physical Description:	XII, 151 S. graph. Darst.
Format:	Langzeitarchivierung gewährleistet, LZA

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MARC


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adam_text	IMAGE 1 CONTENTS 1 INTRODUCTION 1 1.1 GAUGE THEORIES AND THE STANDARD MODEL 2 1.2 NON-COMMUTATIVE GEOMETRIES 3 1.3 STRING THEORY AND PARTICLE PHYSICS 3 1.4 SIGMA MODELS AND T-DUALITY 4 1.5 OUTLINE 6 2 MATHEMATICAL BACKGROUND 9 2.1 DIFFERENTIAL GEOMETRY OF LIE ALGEBROIDS 10 2.1.1 LIE ALGEBROIDS 10 2.1.2 GENERALIZING DIFFERENTIAL GEOMETRY 15 2.2 LIE BI-ALGEBROIDS AND COURANT ALGEBROIDS 20 2.2.1 LIE BI-ALGEBROIDS 20 2.2.2 COURANT ALGEBROIDS 21 3 OPEN STRINGS AND DEFORMATION QUANTIZATION 25 3.1 CONSTANT B-FIELD: NON-COMMUTATIVITY 27 3.2 GENERAL 5-FIELD: NON-ASSOCIATIVITY 29 4 NON-GEOMETRIC FLUX BACKGROUNDS 33 4.1 INTRODUCTION: THE BUSCHER RULES 35 4.2 TORUS COMPACTIFICATION AND 0 ( D , D ; Z)-DUALITY 37 4.3 NON-GEOMETRIC FLUXES 44 4.3.1 TARGET SPACE ASPECTS: 0 { D , ^-TRANSFORMATIONS 44 4.3.2 WORLDSHEET ASPECTS: POISSON SIGMA MODELS 46 4.3.3 EXAMPLE: 3-TORUS WITH H-FI UX 48 4.3.4 THE FOUR-DIMENSIONAL PERSPECTIVE 51 5 RESULTS 57 5.1 CONFORMAL FIELD THEORY WITH //-FLUX AND T-DUALITY 57 5.1.1 MOTIVATION: NON-ASSOCIATIVE STRUCTURES 57 HTTP://D-NB.INFO/1042541353 IMAGE 2 VI CONTENTS 5.1.2 CONFORMAL FIELD THEORY WITH IF-FLUX 58 5.1.3 TACHYON VERTEX OPERATORS 64 5.1.4 T-DUALITY IN CFT// 67 5.1.5 TACHYON CORRELATION FUNCTIONS 69 5.1.6 IV-PRODUCT STRUCTURES 73 5.1.7 CONCLUDING REMARKS AND OUTLOOK 75 5.2 COURANT ALGEBROIDS AND FLUX BIANCHI IDENTITIES 77 5.2.1 REALIZATION ON THE TANGENT BUNDLE 77 5.2.2 REALIZATION ON TM TM 82 5.3 BI-INVARIANT SYMPLECTIC GRAVITY 88 5.3.1 GAUGE TRANSFORMATIONS AND QUASI-LIE DERIVATIVES 88 5.3.2 /?-DIFFEOMORPHISMS AND -TENSORS 92 5.3.3 ALGEBRA OF /3-DIFFEOMORPHISMS 94 5.3.4 GEOMETRY WITH H- AND 0-FLUX 96 5.3.5 DIFFERENTIAL GEOMETRY ON (TM, [-, 98 5.3.6 BI-INVARIANT THEORY OF GRAVITY 103 5.3.7 EQUATIONS OF MOTION 106 5.3.8 RELATIONS TO STRING THEORY 107 5.3.9 EXTENSION TO THE SUPERSTRING 109 5.3.10 FIRST SOLUTIONS IN THE SYMPLECTIC FRAME 114 5.3.11 AN APPROXIMATE SOLUTION WITH CONSTANT 0-FLUX 116 5.3.12 SUMMARY 118 6 OUTLOOK AND FUTURE DIRECTIONS 119 6.1 REMARKS ON NON-GEOMETRIC FRAMES AND SUPERSYMMETRY 119 6.1.1 RELATION TO NON-GEOMETRIC FRAMES 119 6.1.2 SPECULATIONS ABOUT SUPERSYMMETRY 123 6.2 NAMBU-STRUCTURES AND LIE 3-ALGEBROIDS 124 6.2.1 3- KOSZUL BRACKETS 125 6.2.2 DIFFERENTIAL GEOMETRY OF FILIPPOV 3-ALGEBROIDS 127 6.2.3 FUTURE DIRECTIONS AND CONCLUDING REMARKS 130 A THE ROGERS DILOGARITHM 133 A.L DEFINITION AND FUNDAMENTAL PROPERTIES 133 B TACHYON CORRELATION FUNCTIONS 135 B.L THE FREE CASE 135 B.2 INTERACTING CASE 137 C NOTATION CONVENTIONS 141
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spelling	Deser, Andreas Verfasser aut Lie algebroids, non-associative structures and non-geometric fluxes Andreas Deser 2013 XII, 151 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2013 Langzeitarchivierung gewährleistet, LZA (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:19-160487 https://nbn-resolving.org/urn:nbn:de:bvb:19-160487 Resolving-System kostenfrei Volltext http://d-nb.info/1041584474/34 Langzeitarchivierung Nationalbibliothek http://edoc.ub.uni-muenchen.de/16048/ Verlag kostenfrei DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026806692&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Deser, Andreas Lie algebroids, non-associative structures and non-geometric fluxes
subject_GND	(DE-588)4113937-9
title	Lie algebroids, non-associative structures and non-geometric fluxes
title_auth	Lie algebroids, non-associative structures and non-geometric fluxes
title_exact_search	Lie algebroids, non-associative structures and non-geometric fluxes
title_full	Lie algebroids, non-associative structures and non-geometric fluxes Andreas Deser
title_fullStr	Lie algebroids, non-associative structures and non-geometric fluxes Andreas Deser
title_full_unstemmed	Lie algebroids, non-associative structures and non-geometric fluxes Andreas Deser
title_short	Lie algebroids, non-associative structures and non-geometric fluxes
title_sort	lie algebroids non associative structures and non geometric fluxes
topic_facet	Hochschulschrift
url	https://nbn-resolving.org/urn:nbn:de:bvb:19-160487 http://d-nb.info/1041584474/34 http://edoc.ub.uni-muenchen.de/16048/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026806692&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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