Towards non-AdS holography in 3-dimensional higher spin gravity

Details Towards non-AdS holography in 3-dimensional higher spin gravity Towards non-AdS holography in 3-dimensional higher spin gravity

2011-12-29

arxiv.org/abs/1201.0013v3

Physics

High Energy Physics

High Energy Physics - Theory

26 pp, v2: added Refs. and clarified some statements, v3: minor changes, made notation more transparent in sections 4 and 5, m

Scientific paper

We take the first steps towards non-AdS holography in higher spin gravity. Namely, we propose a variational principle for generic 3-dimensional higher spin gravity that accommodates asymptotic backgrounds beyond AdS, like asymptotically Schrodinger, Lifshitz or warped AdS spacetimes. As examples we study in some detail the four sl(2) embeddings of spin-4 gravity and provide associated geometries, including an asymptotic Lifshitz black hole.

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