Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages 1-36Publisher
SPRINGER
DOI: 10.1007/JHEP10(2016)068
Keywords
AdS-CFT Correspondence; Conformal Field Theory; Spacetime Singularities
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Funding
- Tata Institute for Fundamental Research
- BCTP [39862-13070-40-PHBCTP]
- Fundamental Laws Initiative Fund at Harvard University
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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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