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Enhanced asymptotic symmetry algebra of (2+1) -dimensional flat space

par Detournay, Stéphane ;Riegler, Max
Référence Physical Review D, 95, 4, 046008
Publication Publié, 2017-02

Article révisé par les pairs

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Résumé :

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.