Refining the cutoff 3d gravity/$$ T\overline{T} $$ correspondence
Refining the cutoff 3d gravity/$$ T\overline{T} $$ correspondence
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细化截止 3d 重力/$$ Toverline{T} $$ 对应关系
DOI：
10.1007/jhep10(2022)094
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发表时间：
2022
影响因子：
5.4
通讯作者：
Roumpedakis, Konstantinos
中科院分区：
文献类型：
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作者：
Kraus, Per;Monten, Ruben;Roumpedakis, Konstantinos
ad3中的纯引力是一种边界激发理论，最简单地表示为带有改进应力张量的约束自由标量，需要与布朗-亨诺中心电荷匹配。切除AdS的有限部分会产生边界引力子的静态规范Nambu-Goto作用。我们证明了这是无限体积理论的变形，因为改进项对变形作用的影响可以吸收到场的重新定义中。用轨迹方程逐级再现经典引力应力张量。我们计算了静态量规的有限体积能谱，发现迹方程对序模糊性施加了足够的约束，以保证与光锥量规预测一致。然而，相关函数并不完全由迹方程确定。我们展示了引力作用和变形如何允许有限的改进项，并将它们与Zamolodchikov算子的点分裂定义中的未确定的总导数项相匹配。
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 thedeformation 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 thetrace 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 thedeformation allow for finite improvement terms, and we match these to the undetermined total derivative terms in Zamolodchikov’s point splitting definition of theoperator.
DOI：
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发表时间：
1980
期刊：
影响因子：
--
作者：
L. Brown
通讯作者：
L. Brown