论文标题
$ t \ bar {t} $和$ j \ bar {t} $量子力学中的变形
$T\bar{T}$ and $J\bar{T}$ Deformations in Quantum Mechanics
论文作者
论文摘要
在本文中，我们继续研究$ d = 1 $ d = 1 $量子机械系统中的$ t \ bar {t} $变形，并提出了$ j \ bar {t} $变形的可能类似物，并通过$ t \ bar {t} $和$ j \ bar {t} $的一般线性组合在量子机械上进行$ t \ bar {t} $变形。我们为变形理论的分区函数构建流动方程，该解的解决方案将变形分区的功能作为由某些内核加权的未变形分区函数的组成部分。事实证明，内核公式在研究变形的两点函数和分析变形理论的热力学方面非常有用。最后，我们表明，通过将未呈现的理论与全球引力和$ u（1）$量规理论耦合，给出了变形理论的非扰动紫外线完成。
In this paper, we continue the study of $T\bar{T}$ deformation in $d=1$ quantum mechanical systems and propose possible analogues of $J\bar{T}$ deformation and deformation by a general linear combination of $T\bar{T}$ and $J\bar{T}$ in quantum mechanics. We construct flow equations for the partition functions of the deformed theory, the solutions to which yields the deformed partition functions as integral of the undeformed partition function weighted by some kernels. The kernel formula turns out to be very useful in studying the deformed two-point functions and analyzing the thermodynamics of the deformed theory. Finally, we show that a non-perturbative UV completion of the deformed theory is given by minimally coupling the undeformed theory to worldline gravity and $U(1)$ gauge theory.
