论文标题
完善截止3D重力 / $ t \ bar {t} $通讯
Refining the Cutoff 3d Gravity / $T\bar{T}$ Correspondence
论文作者
论文摘要
ADS中的纯重力$ _3 $是边界激发的理论，最简单地表示为受约束的自由标量，具有改进的应力张量，这是匹配棕色 - Henneaux Central Charge所需的。切除广告的有限部分会导致边界重力的静态量规nambu。我们表明，这是无限音量理论的$ t \ bar {t} $变形，因为改进项对变形动作的影响可以吸收到字段重新定义中。经典的重力应力张量通过$ t \ bar {t} $跟踪方程来复制顺序。 We calculate the finite volume energy spectrum in static gauge and find that the trace equation imposes sufficient constraints on the ordering ambiguities to guarantee agreement with the light-cone gauge prediction.但是，相关函数并非由痕量方程完全固定。我们展示了重力动作和$ t \ bar {t} $变形允许有限的改进项，并且我们将其与Zamolodchikov在$ t \ bar {t} $ operator的$ t \ bar {t} $ operator中未确定的总导数项匹配。
Pure gravity in AdS$_3$ is a theory of boundary excitations, most simply expressed as a constrained free scalar with an improved stress tensor that is needed to match the Brown--Henneaux central charge. Excising a finite part of AdS gives rise to a static gauge Nambu--Goto action for the boundary graviton. We show that this is the $T\bar{T}$ deformation of the infinite volume theory, as the effect of the improvement term on the deformed action can be absorbed into a field redefinition. The classical gravitational stress tensor is reproduced order by order by the $T\bar{T}$ trace equation. We calculate the finite volume energy spectrum in static gauge and find that the trace equation imposes sufficient constraints on the ordering ambiguities to guarantee agreement with the light-cone gauge prediction. The correlation functions, however, are not completely fixed by the trace equation. We show how both the gravitational action and the $T\bar{T}$ deformation allow for finite improvement terms, and we match these to the undetermined total derivative terms in Zamolodchikov's point splitting definition of the $T\bar{T}$ operator.
