BMS Particles in Three Dimensions
Springer, 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.
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7 Virasoro Coadjoint Orbits
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action adjoint AdS3 asymptotic symmetry asymptotically flat Barnich BMS group BMS symmetry BMS3 group BMS3 particles central charge central extension character circle coadjoint orbits coadjoint representation coadjoint vector cocycle cohomology coincides coordinates corresponding define definition denote describe Diff(S1 diffeomorphisms energy flat limit flat space formula gauge gravitons Hamiltonian higher-spin highest-weight representations Hilbert space Hill’s equation induced representations infinite-dimensional integral invariant irreducible unitary representations JHEP Lie algebra Lie bracket little group Lorentz group manifold massive massless measure metric momenta momentum orbits non-trivial non-zero notation null infinity Oblak one-loop partition functions operator particular partition function phase space Phys Poincaré group quantization quantum rotations Schwarzian derivative Sect semi-direct product SO(D space-time spanned spin superrotations supertranslations surface charges symmetry group theorem three dimensions transformation law unitary representations vacuum vanishes vector fields Virasoro algebra Virasoro coadjoint Virasoro group Virasoro orbits wavefunctions winding number