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The heat kernel on AdS(3) and its applications

David, JR and Gaberdiel, MR and Gopakumar, R (2010) The heat kernel on AdS(3) and its applications. In: Journal of High Energy Physics (4). pp. 1-43.

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Official URL: http://www.springerlink.com/content/604571853655p4...


We derive the heat kernel for arbitrary tensor fields on S-3 and (Euclidean) AdS(3) using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS(3). We apply this to the calculation of the one loop partition function of N = 1 supergravity on AdS(3). We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on general grounds.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: AdS-CFT Correspondence - Classical Theories of Gravity - Supergravity Models
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 13 Jul 2010 06:36
Last Modified: 13 Jul 2010 06:36
URI: http://eprints.iisc.ac.in/id/eprint/29133

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