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arXiv · 1202.4467

Unitarity Bounds in AdS_3 Higher Spin Gravity

Alejandra Castro·Eliot Hijano·Arnaud Lepage-Jutier
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Abstract

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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Alejandra Castro, Eliot Hijano, Arnaud Lepage-Jutier. 2012-02-20. Unitarity Bounds in AdS_3 Higher Spin Gravity. https://doi.org/10.1007/jhep06(2012)001

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