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) AdSN for N ≤ 3 using the group theoretic techniques employed for AdS3 in arXiv:0911.5085. Our approach is general and can be used, in principle, for other quotients as well as other symmetric spaces. © 2011 SISSA.