论文标题
几何化$ t \ bar {t} $
Geometrizing $T\bar{T}$
论文作者
论文摘要
$ t \ bar {t} $变形可以作为坐标的动态变化进行配制。我们通过将未变形的理论耦合到2D重力来建立与弯曲空间的关系。对于弯曲空间，坐标的动态变化是通过动力学Weyl转换补充的。我们还以多种方式将全息信函锐化到截止广告$ _3 $。首先，我们表明，截止表面和ADS $ _3 $边界之间的环形区域的作用是由$ t \ bar {t} $运算符精确地给出的，该操作员集成在截止表面或渐近边界上。然后，我们直接从整体中得出动态坐标和WEYL变换。最后，我们从截止几何形状中重现了变形应力张量的流动方程。
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.
