论文标题
$ t \ Overline {t} $ - 通风模型的变形自由能
$T\overline{T}$-deformed free energy of the Airy model
论文作者
论文摘要
通过$ t \ Overline {t} $变形，在有限的径向截止$λ$上锐化了Jackiw-teitelboim（JT）重力及其双矩阵模型描述的全息对数。为了进行，我们通过考虑通风模型并以与$ t \ overline {t} $ - 变形的JT Gravity相同的方式来简化问题。我们使用这些相关器来计算$λ> 0 $和$λ<0 $的退火和淬火的自由能，从复制品的整体表示。在$λ$和低温下的领先顺序上，我们确认零属自由能在扰动理论有效时单调降低会随温度的函数而单调降低。然后，我们在低温下研究了全生物的自由能，在此，由于通风模型中的非扰动效应以及在$ t \ overline {t} $变形下的非扰动分支的贡献。
Sharpening the holographic correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff $λ$ through the $T\overline{T}$ deformation is of interest. To proceed, we simplify the problem by considering the Airy model and deform Airy correlators in the same way as in $T\overline{T}$-deformed JT gravity. We use those correlators to compute the annealed and quenched free energies for both $λ> 0$ and $λ< 0$ from an integral representation of the replica trick. At the leading order in $λ$ and low temperatures, we confirm that the genus-zero quenched free energy monotonically decreases as a function of temperature when perturbation theory is valid. We then study the all-genus quenched free energy at low temperatures, where we discover and discuss subtleties due to non-perturbative effects in the Airy model, as well as the contributions from the non-perturbative branch under the $T\overline{T}$ deformation.
