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arXiv · 1510.02464

Bootstrapping 2D CFTs in the Semiclassical Limit

Chi-Ming Chang·Ying-Hsuan Lin
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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 $h \geq c/12$.

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Chi-Ming Chang, Ying-Hsuan Lin. 2015-10-08. Bootstrapping 2D CFTs in the Semiclassical Limit. https://doi.org/10.1007/jhep08(2016)056

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