The Heat Kernel on $AdS$

Rajesh Gopakumar; Rajesh Kumar Gupta; Shailesh Lal

The Heat Kernel on $AdS$

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arxiv 1103.3627 v2 pith:MFJQ26AO submitted 2011-03-18 hep-th gr-qcmath-phmath.MP

Rajesh Gopakumar , Rajesh Kumar Gupta , Shailesh Lal This is my paper · ORCID

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keywords heatkernelotherapproacharbitraryarxivemployedeuclidean

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abstract

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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