Effective actions for F-theory compactifications and tensor theories:
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| Format: | Thesis Book |
| Language: | English |
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2014
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| Online Access: | Volltext http://d-nb.info/1053913869/34 Inhaltsverzeichnis |
| Physical Description: | 299 S. graph. Darst. |
| Format: | Langzeitarchivierung gewährleistet, LZA |
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| adam_text | EFFECTIVE ACTIONS FOR F-THEORY
COMPACTIFICATIONS AND TENSOR THEORIES
FEDERICO BONETTI
DISSERTATION
AND DER FAKULTAT FIIR PHYSIK
DER LUDWIG-MAXIMILIANS-UNIVERSITAT
MIINEHEN
VORGELEGT VON
FEDERICO BONETTI
AUS MAILAND. ITALIEN
MIINEHEN, 2014
HTTP://D-NB.INFO/1055055061
CONTENTS
1 INTRODUCTION 5
1.1 THE QUEST FOR A FUNDAMENTAL THEORY 5
1.2 FROM PARTICLES TO STRINGS 8
1.3 THE EFFECTIVE ACTION PARADIGM 10
1.4 THE POWER OF SUPERSYMMETRY 12
1.5 NON-PERTURBATIVE EFFECTIVE ACTIONS IN STRING AND M-THEORY 15
1.6 OUTLINE OF THE THESIS 17
1 PRELIMINARY MATERIAL 19
2 BASIC NOTIONS ABOUT TYPE II SUPERSTRING THEORY 21
2.1 WORLD-SHEET PERSPECTIVE AND MASSLESS SPECTRA 21
2.2 LOW-ENERGY DYNAMICS OF MASSLESS MODES 31
2.3 ORIENTIFOLD PROJECTIONS 35
3 T-DUALITY, S-DUALITY, M-THEORY 39
3.1 T-DUALITY OF TYPE II SUPERSTRING THEORIES 39
2 CONTENTS
3.2 S-DUALITY OF TYPE IIB SUPERSTRING THEORY 42
3.3 M-THEORY AND TYPE IIA SUPERSTRING THEORY 45
3.4 M-THEORY AND TYPE IIB SUPERSTRING THEORY 50
3.5 LOW-ENERGY DYNAMICS OF M-THEORY BRANES 52
4 COMPACTIFICATIONS AND EFFECTIVE ACTIONS 55
4.1 THE COMPACTIFICATION PARADIGM 55
4.2 CIRCLE COMPACTIFICATION 56
4.3 MORE GENERAL COMPACTIFICATION ON RICCI-FIAT MANIFOLDS 61
4.4 SUPERSYMMETRY AND SPECIAL HOLONOMY 65
4.5 A BRIEF OVERVIEW OF CALABI-YAU MANIFOLDS 69
4.6 A BRIEF OVERVIEW OF SPIN(7) MANIFOLDS 77
5 AN INTRODUCTION TO F-THEORY FROM THE M-THEORY PERSPECTIVE 81
5.1 SEVEN-BRANE BACKREACTION 82
5.2 ELLIPTIC FIBRATIONS AND SEVEN-BRANES 86
5.3 DUALITY BETWEEN F-THEORY AND M-THEORY 93
5.4 SEN S WEAK-COUPLING LIMIT 97
5.5 REMARKS ON G4-FLUX IN FOUR-DIMENSIONAL F-THEORY SETUPS 99
6 THE PUZZLE OF (2,0) THEORIES 101
6.1 NON-TRIVIAL INFRARED DYNAMICS FROM STRING THEORY AND M-THEORY 101
6.2 SOME GENERAL FEATURES OF (2.0) THEORIES 103
6.3 (2,0) THEORIES AND FIVE-DIMENSIONAL SUPER YANG-MILLS 105
II F-THEORY EFFECTIVE ACTIONS 109
7 EFFECTIVE ACTION FOR SIX-DIMENSIONAL F-THEORY COMPACTIFICATIONS 111
7.1 F-THEORY AND THE SPACE OF SIX-DIMENSIONAL (1,0) SUPERGRAVITIES ILL
CONTENTS 3
7.2 ELLIPTICALLY FIBERED CALABI-YAU THREEFOLDS 113
7.3 GENERALITIES ON SIX-DIMENSIONAL (1,0) SUPERGRAVITY 115
7.4 CIRCLE COMPACTIFICATION FROM SIX TO FIVE DIMENSIONS 120
7.5 M-THEORY ON AN ELLIPTICALLY FIBERED CALABI-YAU THREEFOLD 133
7.6 F-THEORY LIFT AND ONE-LOOP CORRECTIONS 140
8 F-THEORY ON SPIN(7) MANIFOLDS 149
8.1 A LONG-STANDING CHALLENGE AND A PROPOSED DUALITY 149
8.2 GEOMETRIES WITH SPIN(7) HOLONOMY FOR F-THEORY 152
8.3 M-THEORY ON SPIN(7) SPACES AND CALABI-YAU QUOTIENTS 157
8.4 F-THEORY ON SPIN(7) MANIFOLDS 167
8.5 QUOTIENTS IN THE WEAK-COUPLING LIMIT 173
8.6 WEAK-COUPLING SETUPS 179
III TENSOR TOWERS AND CHERN-SIMONS THEORIES 193
9 FIVE-DIMENSIONAL CHERN-SIMONS TERMS AT ONE LOOP 195
9.1 AN EXCEPTION TO THE DECOUPLING PARADIGM 195
9.2 SUMMARY OF THE RESULTS 196
9.3 FEYNMAN DIAGRAM COMPUTATION 198
10 ABELIAN TENSOR TOWERS AND FIVE-DIMENSIONAL SUPERGRAVITIES 209
10.1 A LOWER-DIMENSIONAL ACTION FOR CHIRAL P-FORMS 209
10.2 ONE-LOOP CHERN-SIMONS TERMS AND M-THEORY/F-THEORY DUALITY 213
10.3 EXPLORING THE LANDSCAPE OF FIVE-DIMENSIONAL SUPERGRAVITIES 218
10.4 SIX-DIMENSIONAL ORIGIN OF FIVE-DIMENSIONAL THEORIES 220
11 NON-ABELIAN TENSOR TOWERS AND (2,0) THEORIES 225
11.1 THE SEARCH FOR A FIVE-DIMENSIONAL LAGRANGIAN DESCRIPTION 225
4 CONTENTS
11.2 SUPERSYMMETRIC SPECTRUM AND NON-ABELIAN GAUGING 227
11.3 SPECTRUM IN TERMS OF N * 2 SUPERCONFORMAL MULTIPLETS 235
11.4 SUPERSYMMETRIC ACTIONS AND CONFORMAL INVARIANCE 239
11.5 TWO SPECIAL CASES 246
11.6 A POSSIBLE WINDOW ON (2,0) CONFORMAL ANOMALIES 247
IV CONCLUSIONS 251
12 CLOSING REMARKS 253
12.1 A QUICK OVERVIEW 253
12.2 EXPLORING F-THEORY VACUA 254
12.3 UNCOVERING TENSOR THEORIES 257
V APPENDICES 261
A NOTATION, CONVENTIONS, AND USEFUL IDENTITIES 263
A.L GENERAL CONVENTIONS FOR METRIC, CURVATURE, DIFFERENTIAL FORMS 263
A.2 SPINORS IN FIVE DIMENSIONS 264
A.3 MORE DETAILS ABOUT THE REDUCTION OF THE EINSTEIN-HILBERT TERM 267
B MATERIAL FOR THE ONE-LOOP COMPUTATION OF CHAPTER 9 271
B.L GRAVITATIONAL PERTURBATIVE EXPANSION 271
B.2 FEYNMAN RULES 273
C EXAMPLES OF SPIN(7) MANIFOLDS FOR F-THEORY 277
C.L A HYPERSURFACE IN A 2*2,3,1 FIBRATION
OF PI,I,I,I 277
C.2 A COMPLETE INTERSECTION IN A PI,I,I,I FIBRATION OF PI,1
,2,
2 278
|
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| spelling | Bonetti, Federico 1986- Verfasser (DE-588)1055915591 aut Effective actions for F-theory compactifications and tensor theories Federico Bonetti 2014 299 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2014 Langzeitarchivierung gewährleistet, LZA (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:19-171406 https://nbn-resolving.org/urn:nbn:de:bvb:19-171406 Resolving-System kostenfrei Volltext http://d-nb.info/1053913869/34 Langzeitarchivierung Nationalbibliothek DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027471522&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bonetti, Federico 1986- Effective actions for F-theory compactifications and tensor theories |
| subject_GND | (DE-588)4113937-9 |
| title | Effective actions for F-theory compactifications and tensor theories |
| title_auth | Effective actions for F-theory compactifications and tensor theories |
| title_exact_search | Effective actions for F-theory compactifications and tensor theories |
| title_full | Effective actions for F-theory compactifications and tensor theories Federico Bonetti |
| title_fullStr | Effective actions for F-theory compactifications and tensor theories Federico Bonetti |
| title_full_unstemmed | Effective actions for F-theory compactifications and tensor theories Federico Bonetti |
| title_short | Effective actions for F-theory compactifications and tensor theories |
| title_sort | effective actions for f theory compactifications and tensor theories |
| topic_facet | Hochschulschrift |
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