Journal of High Energy Physics

, 2010:115

Higher spin gauge theory and holography: the three-point functions

Article

DOI: 10.1007/JHEP09(2010)115

Cite this article as:
Giombi, S. & Yin, X. J. High Energ. Phys. (2010) 2010: 115. doi:10.1007/JHEP09(2010)115

Abstract

In this paper we calculate the tree level three-point functi ons 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 fre e 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.

Keywords

AdS-CFT Correspondence Models of Quantum Gravity 1/N Exp ansion 

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Center for the Fundamental Laws of Nature, Jefferson Physical LaboratoryHarvard UniversityCambridgeU.S.A.