论文标题
$ t \ bar {t} $手性玻色子和Chern-Simons的变形广告$ _3 $重力
$T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS$_3$ gravity
论文作者
论文摘要
我们研究了手性玻色子的$ t \ bar {t} $变形，并显示了相反手性的手性玻色子与汉密尔顿水平的标量场之间的等效性。我们还得出了更通用理论的变形拉格朗日，其中包含任意数量的手性玻色子到所有订单中。通过使用这些结果，我们将在Chern-Simons公式中得出AD $ _3 $重力理论的$ t \ bar {t} $变形的边界动作。我们计算变形的一环圆环分区函数，该功能满足$ t \ bar {t} $ flow方程，直至一环订单。最后，我们计算了描述边界理论中BTZ黑洞的溶液的变形应力张量，该溶液与源自BTZ黑洞的边界应力张量和有限截止的边界应力张量相吻合。
We study the $T\bar{T}$ deformation of the chiral bosons and show the equivalence between the chiral bosons of opposite chiralities and the scalar fields at the Hamiltonian level under the deformation. We also derive the deformed Lagrangian of more generic theories which contain an arbitrary number of chiral bosons to all orders. By using these results, we derive the $T\bar{T}$ deformed boundary action of the AdS$_3$ gravity theory in the Chern-Simons formulation. We compute the deformed one-loop torus partition function, which satisfies the $T\bar{T}$ flow equation up to the one-loop order. Finally, we calculate the deformed stress tensor of a solution describing a BTZ black hole in the boundary theory, which coincides with the boundary stress tensor derived from the BTZ black hole with a finite cutoff.
