1212.4124 (Yasuaki Hikida)

Conical defects and N=2 higher spin holography    [PDF]

Yasuaki Hikida

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 one-to-one correspondence between conical geometries and primary states in the CP^N model. 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. The situation is different from the bosonic case, where only a part of states in the dual CFT are identified with the conical geometry and the others are with perturbative states or their bound states with the geometry.

View original: http://arxiv.org/abs/1212.4124