English

The Heat Kernel on $AdS$

High Energy Physics - Theory 2015-05-27 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We explicitly evaluate the heat kernel for the Laplacian of arbitrary spin tensor fields on the thermal quotient of (Euclidean) AdSNAdS_N for N3N\geq 3 using the group theoretic techniques employed for AdS3AdS_3 in arXiv:0911.5085. Our approach is general and can be used, in principle, for other quotients as well as other symmetric spaces.

Cite

@article{arxiv.1103.3627,
  title  = {The Heat Kernel on $AdS$},
  author = {Rajesh Gopakumar and Rajesh Kumar Gupta and Shailesh Lal},
  journal= {arXiv preprint arXiv:1103.3627},
  year   = {2015}
}

Comments

Added references, added appendix on heat kernel in even dimension

R2 v1 2026-06-21T17:41:22.063Z