失平衡的$T\bar{T}$ -变形共形场论
$T\bar{T}$-deformed conformal field theories out of equilibrium
摘要:
本文研究了$T\bar{T}$变形的(1+1)维共形场论(CFTs)中的非平衡输运。该理论承认两个不同的方法,可积性和全息,我们充分利用,以计算输运量,如精确的非平衡稳态电流。我们发现从这两种方法得到的结果之间的完美协议,作为第一次检查的$T\bar{T}$变形全息对应从动力学的观点。事实证明,可积性也允许我们计算动量扩散,这是由一个普适公式给出的。我们还注意到一个有趣的连接之间的$T\bar{T}$变形的CFTs和可逆的元胞自动机。
英文摘要:
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.
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