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Unitarity Bounds in AdS₃ Higher Spin Gravity
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Unitarity Bounds in AdS₃ Higher Spin Gravity
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We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to a different asymptotic symmetry group, which we map to an OPE structure at the boundary. A simple inspection of these algebras indicates that only the W_N algebra constructed using the principal embedding could admit a unitary representation for large values of the central charge.
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Cited by 1 Pith paper
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Minimal Massive Gravity Coupled to Higher Spins
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.
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