论文标题
在$ \ mathrm {ads} _2 $上定义$ t \ overline {t} $变形
Defining the $T \overline{T}$ Deformation on $\mathrm{AdS}_2$
论文作者
论文摘要
我们表明，$ t \叠加{t} $在$ \ mathrm {ads} _2 $上的二维量子场理论的变形是在量子级别上定义良好且可解决的。能量光谱和分区函数的流动方程与平面外壳类似。作为非平凡检查，我们在自由标量场的情况下扰动地计算了变形的能量谱。我们分析了变形理论状态的高能量密度，并找到了状态的Hagedorn生长。
We show that the $T \overline{T}$ deformation of two-dimensional quantum field theory on $\mathrm{AdS}_2$ is well-defined and solvable at the quantum level. Flow equations for the energy spectrum and partition function are derived in analogy with the flat space case. As a non-trivial check, we perturbatively compute the deformed energy spectrum for the case of a free scalar field. We analyze the high energy density of states of the deformed theory and find a Hagedorn growth of states.
