2009/12/31 by Simone Giombi, Xi Yin · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep09(2010)115
published as JHEP 1009:115,2010 · 90 pages, 5 figures; v4, minor changes in the introduction
arxiv created 2010/09/07 · arxiv updated 2014/11/20
In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the free field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.