Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space - INSPIRE

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Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space

Stéphane Detournay
(
- Brussels U.
)
,
Max Riegler
(
- Brussels U.
)

Dec 1, 2016

13 pages

Published in:

Phys.Rev.D 95 (2017) 4, 046008

Published: Feb 21, 2017

e-Print:

1612.00278 [hep-th]

DOI:

10.1103/PhysRevD.95.046008

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Abstract: (APS)

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in (2+1)-dimensions with a vanishing cosmological constant that are a generalization of the Barnich-Compère boundary conditions [G. Barnich and G. Compere, Classical Quantum Gravity 24, F15 (2007)CQGRDG0264-938110.1088/0264-9381/24/5/F01]. These new boundary conditions lead to an asymptotic symmetry algebra that is generated by a bms3 algebra and two affine 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.

Note:

10 pages; v2: minor typos corrected & added references

symmetry: algebra
dimension: 3
cosmological constant: 0
mass: topological
boundary condition
gravitation
Einstein
Chern-Simons term
current algebra
thermal

References(67)

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