几何化$T\bar{T}$
Geometrizing $T\bar{T}$
摘要：
$T\bar{T}$变形可以用公式表示为坐标的动态变化。我们建立和推广这种关系的弯曲空间耦合的未变形理论的二维引力。对于弯曲空间，坐标的动态变化由动态Weyl变换补充。我们还以多种方式锐化全息对应以切断AdS $_3$。首先，我们表明，行动的截止表面和边界之间的AdS $_3$的环形区域精确给出的$T\bar{T}$运营商集成的截止表面或渐近边界。然后，我们推导动力学坐标和Weyl变换直接从散装。最后，我们再现流方程的变形应力张量从截止几何。
英文摘要：
The $T\bar{T}$ deformation can be formulated as a dynamical change of coordinates. We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity. For curved space the dynamical change of coordinates is supplemented by a dynamical Weyl transformation. We also sharpen the holographic correspondence to cutoff AdS$_3$ in multiple ways. First, we show that the action of the annular region between the cutoff surface and the boundary of AdS$_3$ is given precisely by the $T\bar{T}$ operator integrated over either the cutoff surface or the asymptotic boundary. Then we derive dynamical coordinate and Weyl transformations directly from the bulk. Finally, we reproduce the flow equation for the deformed stress tensor from the cutoff geometry.
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