Work

Conformal blocks from Wilson lines with loop corrections

Year: 2018
Type: article
Abstract: We compute the conformal blocks of the Virasoro minimal model or its ${\mathrm{W}}_{N}$ 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 ${\mathrm{W}}_{3}$ 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 ${\mathrm{W}}_{3}$ blocks.
Language: English
Open Access status: hybrid
OpenAlex ID: W2784615259
FWCI: 2.776
Cites: 96
Cited by: 37
Related to: 10