BMS Particles in Three DimensionsSpringer, 01.08.2017 - 450 Seiten 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. |
Inhalt
| 1 | |
| 16 | |
| 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 |
| 437 | |
7 Virasoro Coadjoint Orbits | 201 |
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Häufige Begriffe und Wortgruppen
acting action AdS3 associated asymptotic asymptotic symmetry BMS3 BMS3 particles boosts boundary bracket central charge central extension character circle classify coadjoint orbits cocycle coincides conformal consists constant coordinates corresponding define definition denote derivative describe diffeomorphisms elements energy equation equivalent expression extension fact flat follows formula function gauge given gravity induced representations infinity integral interpreted invariant irreducible Lie algebra limit little group Lorentz manifold mass massive matrix measure metric momentum Note observation obtained operator pairs particles particular partition function Phys Poincaré positive projective provides quantization quantum quantum mechanics refer relation representative respectively result rotations satisfies Sect side solutions space space-time spanned standard structure supermomentum surface charges symmetry symplectic theorem theory three dimensions three-dimensional transformations translations turn unitary representations vacuum values vanishes vector fields Virasoro wavefunctions