Conical Defects in Higher Spin Theories
High Energy Physics - Theory
2015-06-03 v1
Abstract
We study conical defect geometries in the SL(N) Chern-Simons formulation of higher spin gauge theories in AdS_3. We argue that (for N\geq 4) there are special values of the deficit angle for which these geometries are actually smooth configurations of the underlying theory. We also exhibit a gauge in which these geometries can be viewed as wormholes interpolating between two distinct asymptotically AdS_3 spacetimes. Remarkably, the spectrum of smooth SL(N,C) solutions, after an appropriate analytic continuation, exactly matches that of the so-called "light primaries" in the minimal model W_N CFTs at finite N. This gives a candidate bulk interpretation of the latter states in the holographic duality proposed in [1].
Cite
@article{arxiv.1111.3381,
title = {Conical Defects in Higher Spin Theories},
author = {Alejandra Castro and Rajesh Gopakumar and Michael Gutperle and Joris Raeymaekers},
journal= {arXiv preprint arXiv:1111.3381},
year = {2015}
}
Comments
38 pages