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Modular crossings, OPE coefficients and black holes

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arxiv 1712.01842 v3 pith:NQMNPQZF submitted 2017-12-05 hep-th

Modular crossings, OPE coefficients and black holes

classification hep-th
keywords modularblackcoefficientsfeaturesheavyholesasymptoticaveraged
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In (1+1)-d CFTs, the 4-point function on the plane can be mapped to the pillow geometry and thereby crossing symmetry gets translated into a modular property. We use these modular features to derive a universal asymptotic formula for OPE coefficients in which one of the operators is averaged over heavy primaries. The coarse-grained heavy channel then reproduces features of the gravitational 2-to-2 S-matrix which has black holes as their intermediate states.

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