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Modular crossings, OPE coefficients and black holes
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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.
Forward citations
Cited by 2 Pith papers
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Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form
A new explicit level-by-level series for four-point Virasoro conformal blocks on the sphere, with coefficients fixed by singular-vector weights, differing from Zamolodchikov recursion and AGT forms.
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A Reverse Black Hole Information Problem
Exact CFT states for colliding particles that form evaporating AdS black holes are constructed, and several coarse-graining maps are shown to convert the exact pure state into mixed semiclassical Hawking radiation wit...
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