Thermal Stress Tensor Correlators, OPE and Holography

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 contribut...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Karlsson, Robin, Parnachev, Andrei, Prilepina, Valentina, Valach, Samuel
Format: Article
Language:English
Subjects:
Correlators
Holography
Mathematical analysis
Operators (mathematics)
Stress tensors
Tensors
Thermal stress
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2206.05544