English

Large N Elliptic Genus and AdS/CFT Correspondence

High Energy Physics - Theory 2010-02-03 v1

Abstract

According to one of Maldacena's dualities, type IIB string theory on AdS_3 X S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity approximation. A finite quantity is obtained once we introduce a particular exclusion principle. In the regime where the supergravity approximation is reliable, we find exact agreement with the elliptic genus of a sigma model with target space K3^N/S_N.

Keywords

Cite

@article{arxiv.hep-th/9812240,
  title  = {Large N Elliptic Genus and AdS/CFT Correspondence},
  author = {Jan de Boer},
  journal= {arXiv preprint arXiv:hep-th/9812240},
  year   = {2010}
}

Comments

13 pages, LaTeX