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arXiv · 1712.01842

Modular crossings, OPE coefficients and black holes

Diptarka Das·Shouvik Datta·Sridip Pal
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Abstract

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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Diptarka Das, Shouvik Datta, Sridip Pal. 2018-11-27. Modular crossings, OPE coefficients and black holes. https://doi.org/10.1103/physrevd.98.101901

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