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The O(N) model on a squashed S^3 and the Klebanov-Polyakov correspondence

Sean A. Hartnoll·S. Prem Kumar
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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.

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Sean A. Hartnoll, S. Prem Kumar. 2005-05-16. The O(N) model on a squashed S^3 and the Klebanov-Polyakov correspondence. https://doi.org/10.1088/1126-6708%2F2005%2F06%2F012

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