BMS Particles in Three Dimensions

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Springer, 01.08.2017 - 450 Seiten
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This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions. It focuses on presenting all the background material in a pedagogical and self-contained manner to enable readers to fully appreciate the original results that have been obtained while learning a number of fundamental concepts in the field along the way. This makes it a highly rewarding read and a perfect starting point for anybody with a serious interest in the four-dimensional problem.
 

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Inhalt

1 Introduction
1
Part I Quantum Symmetries
16
2 Quantum Mechanics and Central Extensions
17
3 Induced Representations
35
4 Semidirect Products
67
5 Coadjoint Orbits and Geometric Quantization
109
Part II Virasoro Symmetry and AdS3 Gravity
162
6 The Virasoro Group
163
8 Symmetries of Gravity in AdS3
241
Part III BMS3 Symmetry and Gravity in Flat Space
284
9 Classical BMS3 Symmetry
287
10 Quantum BMS3 Symmetry
329
11 Partition Functions and Characters
375
12 Conclusion
433
Index
437
Urheberrecht

7 Virasoro Coadjoint Orbits
201

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