Thermal transport in T(T)over-bar-deformed conformal field theories: From integrability to holography

In this paper, we consider the energy and momentum transport in (1 + 1)-dimension conformal field theories (CFTs) that are deformed by an irrelevant operator T (T) over bar, using the integrability based generalized hydrodynamics, and holography. The two complementary methods allow us to study the energy and momentum transport after the in-homogeneous quench, derive the exact nonequilibrium steady states, and calculate the Drude weights. Our analysis reveals that all of these quantities satisfy universal formulae regardless of the underlying CFT, thereby generalizing the universal formulas for these quantities in pure CFTs. We also compute the exact momentum diffusion constant using the integrability-based method and confirm that it agrees with the conformal perturbation. These fundamental physical insights have important consequences for our understanding of the T (T) over bar -deformed CFTs. First of all, they provide the first check of the T (T) over bar -deformed AdS(3)/CFT2 correspondence from the dynamical standpoint. And second, we are able to identify a remarkable connection between the T (T) over bar -deformed CFTs and reversible cellular automata.

Automated summary

This paper explores the energy and momentum transport in (1 + 1)-dimensional conformal field theories deformed by an irrelevant operator T (T) over bar, using integrability-based generalized hydrodynamics and holography. The analysis uncovers universal formulae for these quantities regardless of the specific CFT, extending the understanding of deformed CFTs and confirming the correspondence between T (T) over bar -deformed CFTs and reversible cellular automata.