BMS Particles in Three Dimensions

By B. Oblak. 2016

150 citations recorded by the source corpus.

This thesis is devoted to the group-theoretic aspects of three-dimensional quantum gravity on Anti-de Sitter and Minkowskian backgrounds. In particular we describe the relation between unitary representations of asymptotic symmetry groups and gravitational perturbations around a space-time metric. In the asymptotically flat case this leads to BMS particles, representing standard relativistic particles dressed with gravitational degrees of freedom accounted for by coadjoint orbits of the Virasoro group. Their thermodynamics are described by BMS characters, which coincide with gravitational one-loop partition functions. We also extend these considerations to higher-spin theories and supergravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/341150a3d60102be92091cb9ac091e1eaef19656

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Citations in the corpus

Low-dimensional de Sitter quantum gravity (2019, unknown): “[36, 39].”
Edge modes of gravity. Part I. Corner potentials and charges (2020, background): “Throughout the years, a very substantial amount of work has been dedicated to the study of these corner charges, their algebra, and their possible physical applications [19–30].”
A theory of reparameterizations for AdS3 gravity (2018, background): “We note that there has already been significant effort devoted toward this end, including [14, 94, 95].”
AdS3 gravity and random CFT (2020, background): “ekseev and Shatashvili [34], and for this reason we refer to it as Alekseev-Shatashvili theory. The point is that the integration space of ˚at xed time is a coadjoint orbit of the Virasoro group. See [33,48] for a practical primer to coadjoint orbits. Coadjoint orbits of Lie groups Gare phase spaces”
Advanced Lectures on General Relativity (2018, background): “Studying these subtleties is called studying the orbits of the BMS3 group and it has been done in detail, we refer the reader to [37]!”