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arXiv · 1801.08549

Conformal blocks from Wilson lines with loop corrections

Yasuaki Hikida·Takahiro Uetoko
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Abstract

We compute the conformal blocks of the Virasoro minimal model or its W$_N$ extension with large central charge from Wilson line networks in a Chern-Simons theory including loop corrections. In our previous work, we offered a prescription to regularize divergences from loops attached to Wilson lines. In this paper, we generalize our method with the prescription by dealing with more general operators for $N=3$ and apply it to the identity W$_3$ block. We further compute general light-light blocks and heavy-light correlators for $N=2$ with the Wilson line method and compare the results with known ones obtained using a different prescription. We briefly discuss general W$_3$ blocks.

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Yasuaki Hikida, Takahiro Uetoko. 2018-01-25. Conformal blocks from Wilson lines with loop corrections. https://doi.org/10.1103/physrevd.97.086014

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