论文标题
$ t \ bar {t} $中的热传输 - 变形的保形场理论：从整合性到全息图
Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
论文作者
论文摘要
在本文中，我们考虑使用基于集成性的概括性水力动力学和全息图，考虑了（1+1） - 二相共形的场理论（CFTS）中的能量和动量传输。这两种互补方法使我们能够研究内均匀淬灭后的能量和动量转运，得出确切的非平衡稳态（NESS），并计算DRUDE重量和扩散常数。我们的分析表明，所有这些数量都满足通用公式，而不论基本的CFT如何，从而在纯CFT中推广了这些数量的通用公式。作为理智检查，我们还确认确切的动量扩散常数与保形扰动一致。这些基本的物理见解对我们对$ t \ bar {t} $ - 变形CFTS的理解有重要影响。首先，他们提供了$ t \ bar {t} $ - 变形$ \ mathrm {ads} _3 $/$ \ mathrm {cft} _2 $对应关系的第一个检查。其次，我们能够确定$ t \ bar {t} $ - 变形的CFT和可逆的蜂窝自动机之间的显着连接。
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 $T\bar{T}$, 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 non-equilibrium steady states (NESS) and calculate the Drude weights and the diffusion constants. Our analysis reveals that all of these quantities satisfy universal formulae regardless of the underlying CFT, thereby generalizing the universal formulae for these quantities in pure CFTs. As a sanity check, we also confirm that the exact momentum diffusion constant agrees with the conformal perturbation. These fundamental physical insights have important consequences for our understanding of the $T\bar{T}$-deformed CFTs. First of all, they provide the first check of the $T\bar{T}$-deformed $\mathrm{AdS}_3$/$\mathrm{CFT}_2$ correspondence from the dynamical standpoint. And secondly, we are able to identify a remarkable connection between the $T\bar{T}$-deformed CFTs and reversible cellular automata.
