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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

The Heat Kernel on AdS

classification hep-th gr-qcmath-phmath.MP
keywords heatkernelotherapproacharbitraryarxivemployedeuclidean
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 accept novelty 6.0

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...