Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity

Details Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity

2009-06-08

arxiv.org/abs/0906.1243v2

JHEP 0908:092,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, ESI proceedings, v2: typos corrected, published version

Scientific paper

10.1088/1126-6708/2009/08/092

We propose a set of consistent boundary conditions containing the spacelike warped black holes solutions of Topologically Massive Gravity. We prove that the corresponding asymptotic charges whose algebra consists in a Virasoro algebra and a current algebra are finite, integrable and conserved. A similar analysis is performed for the timelike warped AdS_3 spaces which contain a family of regular solitons. The energy of the boundary Virasoro excitations is positive while the current algebra leads to negative (for the spacelike warped case) and positive (for the timelike warped case) energy boundary excitations. We discuss the relationship with the Brown-Henneaux boundary conditions.

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