论文标题
$ t \ bar {t} $在JT重力和BF仪表理论中
$T\bar{T}$ in JT Gravity and BF Gauge Theory
论文作者
论文摘要
JT重力作为二维BF理论具有一阶配方，可以看作是Chern-Simons $ 3D $ GRAVITY的Chern-Simons描述的维度降低。我们认为$（0+1）$ - 尺寸双重二$ 2d $ bf理论的$ t \ bar {t} $ - 类型的变形，并将变形解释为BF理论边界条件的修改。 Wilson线条和循环中的BF理论中的基本可观察物以及其3D $ CHERN-SIMONS的提升。在$ 3D $ CHERN-SIMONS设置中，我们研究了涉及边界锚定线的相关器的修改，这些相关器是由$ 2D $边界上的$ t \ bar {t} $变形引起的；结果在经典水平（使用修改的边界条件）和量子力学水平（使用共形扰动理论）上呈现。最后，我们计算出$ 2D $ bf理论的类似变形的威尔逊线相关器，在Hagedorn温度下，主序列在离散系列中占主导地位。
JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional dual to this $2d$ BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its $3d$ Chern-Simons lift, are Wilson lines and loops. In the $3d$ Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a $T\bar{T}$ deformation on the $2d$ boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in $2d$ BF theory below the Hagedorn temperature where the principal series dominates over the discrete series.
