The heat kernel on AdS(3) and its applications

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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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
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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