2018
DOI: 10.1103/physrevd.98.026003
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Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories

Abstract: We study properties of heavy-light-heavy three-point functions in two-dimensional conformal field theories by using the modular invariance of two-point functions on a torus. We show that the result is nontrivially consistent with the condition of eigenstate thermalization hypothesis. We also study the openclosed duality of cylinder amplitudes and derive behaviors of disk one-point functions.

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Cited by 75 publications
(91 citation statements)
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References 31 publications
(66 reference statements)
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“…CFT are consistent with the coarse-grained results obtained from modular covariance of the one-point and multi-points functions on a torus [11][12][13][14].…”
Section: Introductionsupporting
confidence: 86%
“…CFT are consistent with the coarse-grained results obtained from modular covariance of the one-point and multi-points functions on a torus [11][12][13][14].…”
Section: Introductionsupporting
confidence: 86%
“…In [20], they compute the entropy of a black hole dual to a holographic CFT in arbitrary dimensions and show that its entropy is in good agreement with the entanglement entropy of the universal ETH density matrix in the low temperature/high energy limit. In [29] and [30], various correlation functions for a 2D CFT Figure 1. Given a subregion on the boundary, it can be uniquely associated to a dual spacetime region called the "entanglement wedge" of the subregion, as shown by the shaded region.…”
Section: Eth and Holographymentioning
confidence: 99%
“…See[12,13,[20][21][22][23][24][25][26][27][28][29] and the references therein for some recent discussions 5. A brief review of necessary features of Eisenstein series and Weierstrass functions is given in appendix A.…”
mentioning
confidence: 99%