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 h ≥ c/12.
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Chang, CM., Lin, YH. Bootstrapping 2D CFTs in the semiclassical limit. J. High Energ. Phys. 2016, 56 (2016). https://doi.org/10.1007/JHEP08(2016)056
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DOI: https://doi.org/10.1007/JHEP08(2016)056