论文标题

$ t \ bar {t} $ - 变形和liouville重力

$T\bar{T}$-deformation and Liouville gravity

论文作者

Okumura, Suguru, Yoshida, Kentaroh

论文摘要

我们考虑具有任意DiLATON潜力的Jackiw-Teitelboim(JT)重力的重力扰动,并研究了可以将二次作用视为$ t \ bar {t} $的条件。作为一种特殊情况,包括杜波夫斯基等人[arxiv:1706.06604]讨论的扁平空间JT重力。另一个有趣的例子是双曲线延伸电位。这种情况相当于具有负宇宙常数的经典liouville重力,然后是有限的$ t \ bar {t} $ - 物质动作的变形被实现为ADS $ _2 $的重力扰动。

We consider a gravitational perturbation of the Jackiw-Teitelboim (JT) gravity with an arbitrary dilaton potential and study the condition under which the quadratic action can be seen as a $T\bar{T}$-deformation of the matter action. As a special case, the flat-space JT gravity discussed by Dubovsky et al[arXiv:1706.06604 ] is included. Another interesting example is a hyperbolic dilaton potential. This case is equivalent to a classical Liouville gravity with a negative cosmological constant and then a finite $T\bar{T}$-deformation of the matter action is realized as a gravitational perturbation on AdS$_2$.

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