Speaker
Description
I will present details of a recently discovered representation of conformal
four-point ladder integrals as thermal one-point functions in scalar field theories. Conformal ladder integrals can be constructed from the partition function of two
harmonic oscillators twisted by an imaginary chemical potential. For any even
dimension D and any loop order L they satisfy a familiar-looking second order differential equation.
Thermal one-point functions of higher-spin operators correspond to
linear combinations of multi-loop ladder graphs in D= 2 and D= 4 dimensions. A simple derivation for the all-loop resummation of conformal ladder integrals for arbitrary D is also given. Some possible connections if this work and recent developments in the thermal bootstrap, multiloop calculations, integrability, AdS/CFT and string theory will be mentioned.