Bootstrap, universality and horizons

Chi-Ming Chang Center for Theoretical Physics and Department of Physics, University of California, Berkeley, CA 94704 U.S.A. Ying-Hsuan Lin Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74008

Journal of High Energy Physics, 2016, (68), 2016.10
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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@inproceedings{chi-ming2016bootstrap,,
  title={Bootstrap, universality and horizons},
  author={Chi-Ming Chang, and Ying-Hsuan Lin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702135905514146504},
  booktitle={Journal of High Energy Physics},
  volume={2016},
  number={68},
  year={2016},
}
Chi-Ming Chang, and Ying-Hsuan Lin. Bootstrap, universality and horizons. 2016. Vol. 2016. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702135905514146504.
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