ETH and Modular Invariance of 2D CFTs
classification
✦ hep-th
cond-mat.stat-mechquant-ph
keywords
functionscftsinvariancemodularamplitudesbehaviorsconditionconsistent
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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.
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