ETH and Modular Invariance of 2D CFTs
High Energy Physics - Theory
2018-07-11 v2 Statistical Mechanics
Quantum Physics
Abstract
We study properties of heavy-light-heavy three-point functions in two-dimensional CFTs by using the modular invariance of two-point functions on a torus. We show that our result is non-trivially consistent with the condition of ETH (Eigenstate Thermalization Hypothesis). We also study the open-closed duality of cylinder amplitudes and derive behaviors of disk one-point functions.
Cite
@article{arxiv.1804.09658,
title = {ETH and Modular Invariance of 2D CFTs},
author = {Yasuaki Hikida and Yuya Kusuki and Tadashi Takayanagi},
journal= {arXiv preprint arXiv:1804.09658},
year = {2018}
}
Comments
Latex, 16 pages, 1 figure, subsections on holographic CFTs and multi-point correlators added. A reference and several comments added. Typos corrected