The Heat Kernel on $AdS$

Abstract

We explicitly evaluate the heat kernel for the Laplacian of arbitrary spin tensor fields on the thermal quotient of (Euclidean) $Ad{S}_N$ for $N\ge 3$ using the group theoretic techniques employed for $Ad{S}_3$ in arXiv:0911.5085. Our approach is general and can be used, in principle, for other quotients as well as other symmetric spaces.

Added references, added appendix on heat kernel in even dimension

References in corpus (7)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Quantum W-symmetry in AdS_3
• Black hole determinants and quasinormal modes
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• The Heat Kernel on AdS_3 and its Applications
• Graviton 1-loop partition function for 3-dimensional massive gravity

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