Thermal correlation functions in CFT and factorization

A bstract We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The function leads to a universal formula the holographic free energy d dimensions terms of c -anomaly coefficient. By including ? ? corrections black brane background, we reproduce leading correction strong coupling. In turn, have very intricate structure, exhibiting number interesting properties. simple cases, find an analytic formula. When satisfy ? i = j + k , thermal satisfies factorization property. argue that > 2 is reflection semiclassical regime.