## The Conformal Bootstrap at Finite Temperature and the 3d Ising CFT

**Speaker:**Murat Kologlu, Caltech

**When:**October 24, 2018 (Wed), 11:00AM to 12:00PM (add to my calendar)

**Location:**PRB 595

*This event is part of the HET Seminar Series. *

Many properties of conformal field theories (CFTs) have been uncovered by the conformal bootstrap in the past decade. The focus has mostly been on bootstrapping flat-space four-point functions for the local data: spectra and OPE coefficients. Can we extend the bootstrap program to CFTs on nontrivial manifolds? Recently, we took the first step in this direction by studying CFTs on a Euclidean circle times flat space, corresponding to putting the Lorentzian CFT at finite temperature. I will explain how to bootstrap thermal CFT two-point functions to solve for the thermal averages of local operators. I will describe analytic techniques such as the “thermal Lorentzian inversion formula” and a large-spin perturbation theory for the thermal data. Finally, I will apply these techniques to approximately solve the thermal bootstrap for the 3d Ising CFT and obtain predictions for the thermal averages of infinitely many operators, including a prediction for the free energy density.