The Heat Kernel on $AdS$

Details The Heat Kernel on $AdS$ The Heat Kernel on $AdS$

2011-03-18

arxiv.org/abs/1103.3627v2

Physics

High Energy Physics

High Energy Physics - Theory

Added references, added appendix on heat kernel in even dimension

Scientific paper

We explicitly evaluate the heat kernel for the Laplacian of arbitrary spin
tensor fields on the thermal quotient of (Euclidean) $AdS_N$ for $N\geq 3$
using the group theoretic techniques employed for $AdS_3$ in arXiv:0911.5085.
Our approach is general and can be used, in principle, for other quotients as
well as other symmetric spaces.

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