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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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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