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来自经典几何的单一四点关联函数。

Unitary 4-point correlators from classical geometries.

作者信息

Bombini Alessandro, Galliani Andrea, Giusto Stefano, Moscato Emanuele, Russo Rodolfo

机构信息

1Dipartimento di Fisica ed Astronomia "Galileo Galilei", Università di Padova, Via Marzolo 8, 35131 Padua, Italy.

2I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131 Padua, Italy.

出版信息

Eur Phys J C Part Fields. 2018;78(1):8. doi: 10.1140/epjc/s10052-017-5492-3. Epub 2018 Jan 4.

DOI:10.1140/epjc/s10052-017-5492-3
PMID:31258392
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6566207/
Abstract

We compute correlators of two heavy and two light operators in the strong coupling and large limit of the D1D5 CFT which is dual to weakly coupled gravity. The light operators have dimension two and are scalar descendants of the chiral primaries considered in arXiv:1705.09250, while the heavy operators belong to an ensemble of Ramond-Ramond ground states. We derive a general expression for these correlators when the heavy states in the ensemble are close to the maximally spinning ground state. For a particular family of heavy states we also provide a result valid for any value of the spin. In all cases we find that the correlators depend non-trivially on the CFT moduli and are not determined by the symmetries of the theory; however, they have the properties expected for correlators among pure states in a unitary theory, in particular they do not decay at large Lorentzian times.

摘要

我们在与弱耦合引力对偶的D1D5共形场论(CFT)的强耦合和大(N)极限下,计算两个重算子和两个轻算子的关联函数。轻算子的维度为二,是arXiv:1705.09250中所考虑的手征原初算子的标量后代,而重算子属于一组Ramond - Ramond基态。当该组中的重态接近最大自旋基态时,我们推导了这些关联函数的一般表达式。对于一个特定的重态族,我们还给出了一个对任意自旋值都有效的结果。在所有情况下,我们发现关联函数非平凡地依赖于CFT模,并且不由理论的对称性决定;然而,它们具有酉理论中纯态之间关联函数所预期的性质,特别是在大洛伦兹时间下它们不会衰减。

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本文引用的文献

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Smooth Horizonless Geometries Deep Inside the Black-Hole Regime.黑洞区域内部的光滑无视界几何结构。
Phys Rev Lett. 2016 Nov 11;117(20):201601. doi: 10.1103/PhysRevLett.117.201601. Epub 2016 Nov 8.
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Thermodynamical property of entanglement entropy for excited states.激发态纠缠熵的热力学性质。
Phys Rev Lett. 2013 Mar 1;110(9):091602. doi: 10.1103/PhysRevLett.110.091602.
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Fuzzball solutions for black holes and D1-brane-D5-brane microstates.黑洞与D1膜-D5膜微观态的模糊球解
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