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ETH and Modular Invariance of 2D CFTs

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arxiv 1804.09658 v2 pith:A6YAC6QS submitted 2018-04-25 hep-th cond-mat.stat-mechquant-ph

classification hep-thcond-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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universality of the microcanonical entropy at large spin

    hep-th 2025-05 conditional novelty 8.0 of 10

    For any twist interval at or above (c-1)/12, the large-spin operator density matches the vacuum-block prediction with relative error vanishing faster than any power, using a twist window that may shrink as J^{-1/4+epsilon}.

  2. Modern Approach to 2D Conformal Field Theory

    hep-th 2024-12 unverdicted novelty 1.0 of 10

    A review-style lecture note collection presenting modern bootstrap methods for irrational 2D CFTs, with no new research results.

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