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Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example

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arxiv 1209.2860 v2 pith:VX42I5CQ submitted 2012-09-13 hep-th gr-qc

H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler This is my paper · ORCID
classification hep-thgr-qc
keywords algebraexamplegravityquantumasymptoticgeneralhighernon-ads
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We present the general algorithm to establish the classical and quantum asymptotic symmetry algebra for non-AdS higher spin gravity and implement it for the specific example of spin-3 gravity in the non-principal embedding with Lobachevsky (H^2xR) boundary conditions. The asymptotic symmetry algebra for this example consists of a quantum W_3^2 (Polyakov-Bershadsky) and an affine u(1) algebra. We show that unitary representations of the quantum W_3^2 algebra exist only for two values of its central charge, the trivial c=0 "theory" and the simple c=1 theory.

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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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