CFT(4) Partition Functions and the Heat Kernel on AdS(5)

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

References in corpus (5)

• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Quantum W-symmetry in AdS_3
• Graviton 1-loop partition function for 3-dimensional massive gravity
• Partition Functions for Higher-Spin theories in AdS
• Quite a Character: The Spectrum of Yang-Mills on S^3

Cited by in corpus (6)

• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• One-loop Test of Free SU(N) Adjoint Model Holography
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach