The Heat Kernel on AdS_3 and its Applications

Details The Heat Kernel on AdS_3 and its Applications The Heat Kernel on AdS_3 and its Applications

2009-11-26

arxiv.org/abs/0911.5085v2

JHEP 1004:125,2010

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, LaTeX, v2: Reference added

Scientific paper

10.1007/JHEP04(2010)125

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.

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