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The Heat Kernel on AdS
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The Heat Kernel on AdS
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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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Cited by 1 Pith paper
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Neumann scalars in AdS: partition functions and phases
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...
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