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Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space

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arxiv 1612.00278 v2 pith:JZGBEZMR submitted 2016-12-01 hep-th

Stéphane Detournay , Max Riegler This is my paper · ORCID
classification hep-th
keywords boundaryconditionsalgebraasymptoticgravitysymmetrydetermineeinstein
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abstract

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in 2+1 dimensions with vanishing cosmological constant that are a generalization of the Barnich-Comp{\`e}re boundary conditions gr-qc/0610130. These new boundary conditions lead to an asymptotic symmetry algebra that is generated by a $\mathfrak{bms}_3$ algebra and two affine $\hat{\mathfrak{u}}(1)$ current algebras. We then apply these boundary conditions to Topologically Massive Gravity (TMG) and determine how the presence of the gravitational Chern-Simons term affects the central extensions of the asymptotic symmetry algebra. We furthermore determine the thermal entropy of solutions obeying our new boundary conditions for both Einstein gravity and TMG.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. BMS$_3$ invariant field theories

    hep-th 2026-07 accept novelty 6.0 of 10

    New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

  2. Generalized Fefferman-Graham gauge and boundary Weyl structures

    hep-th 2024-11 conditional novelty 6.0 of 10

    In the generalized Fefferman-Graham gauge, three-dimensional AdS gravity produces a boundary Weyl connection, a Weyl-covariant stress tensor and trace anomaly, and requires a new corner counterterm that fixes the Eucl...

  3. On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

    hep-th 2019-08 conditional novelty 6.0 of 10

    New infinite-dimensional superalgebras, the deformed and enlarged super-BMS3 algebras for N=1,2,4, are produced by S-expanding super-Virasoro and are related by a flat limit.

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