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Bound on asymptotics of magnitude of three point coefficients in 2D CFT

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arxiv 1906.11223 v3 pith:7QGDVO56 submitted 2019-06-26 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords coefficientsmagnitudepointthreeheavy-light-heavyasymptoticasymptoticsaverage
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We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.

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  1. Universality in the OPE Coefficients of Holographic 2d CFTs

    hep-th 2019-08 conditional novelty 6.0 of 10

    Universal averaged OPE coefficient asymptotics in large-central-charge 2D CFTs extend to Δ>c/6 only under specific sparseness conditions; the C^2_HLL formula requires the stricter ρ(Δ)≲e^{πΔ}, which permutation orbifo...

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