David, Justin R. ; Gaberdiel, Matthias R. ; Gopakumar, Rajesh (2010) The heat kernel on AdS(3) and its applications Journal of High Energy Physics, 2010 (4). ISSN 1029-8479
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Official URL: http://doi.org/10.1007/JHEP04(2010)125
Related URL: http://dx.doi.org/10.1007/JHEP04(2010)125
Abstract
We derive the heat kernel for arbitrary tensor fields on S 3 and (Euclidean) AdS3 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 AdS3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS3. 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: | Article |
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Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
Keywords: | AdS-CFT Correspondence; Classical Theories of Gravity; Supergravity Models. |
ID Code: | 117037 |
Deposited On: | 14 Apr 2021 08:37 |
Last Modified: | 14 Apr 2021 08:37 |
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