Unitarity Bounds in AdS_3 Higher Spin Gravity

Details Unitarity Bounds in AdS_3 Higher Spin Gravity Unitarity Bounds in AdS_3 Higher Spin Gravity

2012-02-20

arxiv.org/abs/1202.4467v1

Physics

High Energy Physics

High Energy Physics - Theory

1+23 pages

Scientific paper

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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