Thermal correlation functions in CFT and factorization

Understand

We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography.

• The 2-point function leads to a universal formula for the holographic free energy in $d$ dimensions in terms of the $c$-anomaly coefficient.
• By including $\alpha'$ corrections to the black brane background, one can reproduce the leading correction at strong coupling.
• In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties.