Unitarity Bounds in AdS_3 Higher Spin Gravity
High Energy Physics - Theory
2012-08-02 v3
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.
Cite
@article{arxiv.1202.4467,
title = {Unitarity Bounds in AdS_3 Higher Spin Gravity},
author = {Alejandra Castro and Eliot Hijano and Arnaud Lepage-Jutier},
journal= {arXiv preprint arXiv:1202.4467},
year = {2012}
}
Comments
1+23 pages, Version 3 Appendix B revised