The O(N) model on a squashed S^3 and the Klebanov-Polyakov correspondence
High Energy Physics - Theory
2011-04-15 v3 General Relativity and Quantum Cosmology
Abstract
We solve the O(N) vector model at large N on a squashed three-sphere with a conformal mass term. Using the Klebanov-Polyakov version of the AdS_4/CFT_3 correspondence we match various aspects of the strongly coupled theory with the physics of the bulk AdS Taub-NUT and AdS Taub-Bolt geometries. Remarkably, we find that the field theory reproduces the behaviour of the bulk free energy as a function of the squashing parameter. The O(N) model is realised in a symmetric phase for all finite values of the coupling and squashing parameter, including when the boundary scalar curvature is negative.
Cite
@article{arxiv.hep-th/0503238,
title = {The O(N) model on a squashed S^3 and the Klebanov-Polyakov correspondence},
author = {Sean A. Hartnoll and S. Prem Kumar},
journal= {arXiv preprint arXiv:hep-th/0503238},
year = {2011}
}
Comments
1+27 pages. 6 figures. LaTeX. References added