Bootstrapping 2D CFTs in the semiclassical limit

Chi-Ming Chang Center for Theoretical Physics and Department of Physics, University of California, S. Hall Rd., Berkeley, CA, 94704, USA Ying-Hsuan Lin Jefferson Physical Laboratory, Harvard University, 17 Oxford St., Cambridge, MA, 02138, USA

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74007

Journal of High Energy Physics, 2016, (56), 2016.8
We study two-dimensional conformal field theories in the semiclassical limit. In this limit, the four-point function is dominated by intermediate primaries of particular weights along with their descendants, and the crossing equations simplify drastically. For a four-point function receiving sufficiently small contributions from the light primaries, the structure constants involving heavy primaries follow a universal formula. Applying our results to the four-point function of the Z_2 twist field in the symmetric product orbifold, we produce the Hellerman bound and the logarithmically corrected Cardy formula that is valid for h ≥ c/12.
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  title={Bootstrapping 2D CFTs in the semiclassical limit},
  author={Chi-Ming Chang, and Ying-Hsuan Lin},
  booktitle={Journal of High Energy Physics},
Chi-Ming Chang, and Ying-Hsuan Lin. Bootstrapping 2D CFTs in the semiclassical limit. 2016. Vol. 2016. In Journal of High Energy Physics.
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