ETH and Modular Invariance of 2D CFTs
arXiv:1804.09658 · doi:10.1103/PhysRevD.98.026003
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.
Latex, 16 pages, 1 figure, subsections on holographic CFTs and multi-point correlators added. A reference and several comments added. Typos corrected
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