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.

47 pages

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Cited by in corpus (9)

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• Freedom near Lightcone and ANEC Saturation
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
• Resummation of Multi-Stress Tensors in Higher Dimensions
• Finite Temperature at Finite Places
• Universal thermalization dynamics in (1+1)d QFTs