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 orbifolds violate.
Bound on asymptotics of magnitude of three point coefficients in 2D CFT
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abstract
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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hep-th 1years
2019 1verdicts
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Universality in the OPE Coefficients of Holographic 2d CFTs
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 orbifolds violate.