Conical defects and N=2 higher spin holography
High Energy Physics - Theory
2015-06-12 v4
Abstract
We study conical geometry with the maximal number of fermionic symmetry in the higher spin supergravity described by sl(N+1|N) + sl(N+1|N) Chern-Simons gauge theory. It was proposed that a three dimensional N=2 higher spin supergravity is holographically dual to the N=(2,2) CP^N Kazama-Suzuki model. Based one the duality, we find a map between conical geometries and primary states in the dual CFT. In particular, we construct geometric solutions corresponding to primary states in the RR-sector. The proposal is checked by the comparison of a few charges and by the relation between null vectors and higher spin symmetry.
Cite
@article{arxiv.1212.4124,
title = {Conical defects and N=2 higher spin holography},
author = {Yasuaki Hikida},
journal= {arXiv preprint arXiv:1212.4124},
year = {2015}
}
Comments
32 pages, minor changes, appendix B added, to appear in JHEP