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) $Ad{S}_N$ 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.