English

N=1 supersymmetric higher spin holography on AdS_3

High Energy Physics - Theory 2015-06-11 v2

Abstract

We propose a duality between a higher spin N=1 supergravity on AdS_3 and a large N limit of a family of N=(1,1) superconformal field theories. The gravity theory is an N=1 truncation of the N=2 supergravity found by Prokushkin and Vasiliev, and the dual conformal field theory is defined by a supersymmetric coset model. We check this conjecture by comparing one loop partition functions and find agreement. Moreover, we study the symmetry of the dual coset model and in particular compute fields of the coset algebra of dimension 3/2, 2, 2 and 5/2 explicitely.

Keywords

Cite

@article{arxiv.1209.5404,
  title  = {N=1 supersymmetric higher spin holography on AdS_3},
  author = {Thomas Creutzig and Yasuaki Hikida and Peter B. Ronne},
  journal= {arXiv preprint arXiv:1209.5404},
  year   = {2015}
}

Comments

31 pages, 1 figure