$T\bar{T}$-deformed conformal field theories out of equilibrium

TL;DR

This paper investigates out-of-equilibrium transport in $Tar{T}$-deformed 1+1D conformal field theories using integrability and holography, confirming their correspondence and revealing universal diffusion properties.

Contribution

It provides the first dynamical checks of the $Tar{T}$-deformed holographic correspondence and derives a universal formula for momentum diffusion in these theories.

Findings

Exact non-equilibrium steady state currents computed via integrability and holography.

Confirmed agreement between integrability and holography methods.

Derived a universal formula for momentum diffusion.

Abstract

We consider the out-of-equilibrium transport in $T\bar{T}$-deformed (1+1)-dimension conformal field theories (CFTs). The theories admit two disparate approaches, integrability and holography, which we make full use of in order to compute the transport quantities, such as the the exact non-equilibrium steady state currents. We find perfect agreements between the results obtained from these two methods, which serve as the first checks of the $T\bar{T}$-deformed holographic correspondence from the dynamical standpoint. It turns out that integrability also allows us to compute the momentum diffusion, which is given by a universal formula. We also remark on an intriguing connection between the $T\bar{T}$-deformed CFTs and reversible cellular automata.