Thermal Stress Tensor Correlators, OPE and Holography

Abstract

In strongly coupled conformal field theories with a large central charge important light degrees of freedom are the stress tensor and its composites, multi-stress tensors. We consider the OPE expansion of two-point functions of the stress tensor in thermal and heavy states and focus on the contributions from the stress tensor and double-stress tensors in four spacetime dimensions. We compare the results to the holographic finite temperature two-point functions and read off conformal data beyond the leading order in the large central charge expansion. In particular, we compute corrections to the OPE coefficients which determine the near-lightcone behavior of the correlators. We also compute the anomalous dimensions of the double-stress tensor operators.

Holographic torus correlators of stress tensor in $AdS_3/CFT_2$

“…It's interesting to extend our computation of holographic correlators to other operators and to higher dimensions. Exact results will contribute to the understanding of CFTs of non-trivial topology, in terms of OPEs, conformal blocks [39][40][41][42][43][44] and possible bootstrap programs [45]. With a proper recipe of analytic continuation to the Minkowski signature, we can also obtain exact results for holographic transport coefficients, as was done in [46] and numerous following works.…”