Bootstrapping 2D CFTs in the semiclassical limit

DOI10.1007/JHEP08(2016)056zbMATH Open1390.81250arXiv1510.02464MaRDI QIDQ1639026

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Publication date: 12 June 2018

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Abstract: 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 $mathbb{Z}_2$ twist field in the symmetric product orbifold, we produce the Hellerman bound and the logarithmically corrected Cardy formula that is valid for $hgeqc/12$.

Full work available at URL: https://arxiv.org/abs/1510.02464

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