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The O(N) model on a squashed S3 and the Klebanov-Polyakov correspondence

Sean A Hartnoll, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2005, Issue: 06, Pages: 012 - 012

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2005/06/012

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 AdS4/CFT3 correspondence we match various aspects of the strongly coupled theory with the physics of the bulk AdS Taub-NUT and AdS Taub-Bolt geometries. Remarka...

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Published in: Journal of High Energy Physics
Published: 2005
URI: https://cronfa.swan.ac.uk/Record/cronfa16147
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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 AdS4/CFT3 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.
College: Faculty of Science and Engineering
Issue: 06
Start Page: 012
End Page: 012