Superconformal blocks from Wilson lines with loop corrections

Abstract

We compute the $\mathcal{N}=1$ superconformal blocks from the networks of open Wilson lines in the $\text{osp}(1|2)$ Chern-Simons theory in the expansion of large central charge $c$. We first reproduce the $1/c$ correction of conformal weight from an open Wilson line by adopting the regularization prescription developed in our previous works. We then obtain the closed form expressions of superconformal blocks including $1/c$ corrections, which were not available before. We also examine heavy operators corresponding to supersymmetric conical spaces, and the geometry is quantized by utilizing the coadjoint orbits of the super Virasoro group. Superconformal blocks involving these operators are also examined.

arXiv comment41 pages, 4 figures, minor changes, a reference added, published version

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• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Renormalization of gravitational Wilson lines
• Large $c$ Virasoro Blocks from Monodromy Method beyond Known Limits
• Rectangular W-(super)algebras and their representations
• More on Wilson toroidal networks and torus blocks
• Chern-Simons Gravity Dual of BCFT
• Supersymmetric Galilean conformal blocks
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary