The heat kernel on AdS
Copyright policy )The heat kernel on AdS
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.
Added references, added appendix on heat kernel in even dimension
- Institute of Theoretical Physics, Utrecht Univesity Netherlands
- Utrecht University Netherlands
- Harish-Chandra Research Institute India
- Institute for Theoretical Physics Amsterdam Netherlands
High Energy Physics - Theory, Nuclear and High Energy Physics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), AdS-CFT Correspondence, Quantum field theory on curved space or space-time backgrounds, Supergravity, classical theories of gravity, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, General Relativity and Quantum Cosmology, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Thermal quantum field theory, Classical Theories of Gravity, Mathematical Physics, Heat kernel
High Energy Physics - Theory, Nuclear and High Energy Physics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), AdS-CFT Correspondence, Quantum field theory on curved space or space-time backgrounds, Supergravity, classical theories of gravity, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, General Relativity and Quantum Cosmology, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Thermal quantum field theory, Classical Theories of Gravity, Mathematical Physics, Heat kernel
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