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arXiv · 1604.01774

Semiclassical OPE coefficients from 3D gravity

Chi-Ming Chang·Ying-Hsuan Lin
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Abstract

We present a closed form expression for the semiclassical OPE coefficients that are universal for all 2D CFTs with a "weak" light spectrum, by taking the semiclassical limit of the fusion kernel. We match this with a properly regularized and normalized bulk action evaluated on a geometry with three conical defects, analytically continued in the deficit angles beyond the range for which a metric with positive signature exists. The analytically continued geometry has a codimension-one coordinate singularity surrounding the heaviest conical defect. This singularity becomes a horizon after Wick rotating to Lorentzian signature, suggesting a connection between universality and the existence of a horizon.

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Chi-Ming Chang, Ying-Hsuan Lin. 2016-04-06. Semiclassical OPE coefficients from 3D gravity. https://arxiv.org/abs/1604.01774

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