CFT(4) Partition Functions and the Heat Kernel on AdS(5)
arXiv:1212.1050 · doi:10.1016/j.physletb.2013.10.043
Abstract
We explicitly reorganise the partition function of an arbitrary CFT in four spacetime dimensions into a heat kernel form for the dual string spectrum on AdS(5). On very general grounds, the heat kernel answer can be expressed in terms of a convolution of the one-particle partition function of the four-dimensional CFT. Our methods are general and would apply for arbitrary dimensions, which we comment on.
15 pages