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Genus Two Modular Bootstrap
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We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a Z3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore constraints from genus two modular invariance and unitarity. In particular, we find 'critical surfaces' that constrain the structure constants of a CFT beyond what is accessible via the crossing equation on the sphere.
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Cited by 1 Pith paper
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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 orbifo...
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