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

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arxiv 1201.0013 v3 pith:WBJQAVTL submitted 2011-12-29 hep-th gr-qc

Michael Gary , Daniel Grumiller , Radoslav Rashkov This is my paper · ORCID
classification hep-thgr-qc
keywords gravityhigherspinasymptoticdimensionalholographylifshitznon-ads
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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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Cited by 2 Pith papers

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  1. Minimal Massive Gravity Coupled to Higher Spins

    hep-th 2026-07 conditional novelty 6.0 of 10

    Minimal Massive Gravity is coupled to a finite sl(N) tower of higher-spin fields, giving a Stückelberg formulation, AdS2 x S1 hair solutions, and two massive modes (spin j and j-2) for each spin-j > 2 field.

  2. Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity

    hep-th 2025-05 conditional novelty 6.0 of 10

    The su(1,2)⊕u(1) Chern-Simons theory is torsional Newton-Cartan gravity whose 1/c expansion reproduces the extended z=2 Schrödinger gravity and whose asymptotic symmetry is the W_3^(2)⊕u(1) algebra.

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