N=1 superconformal blocks with Ramond fields from AGT correspondence

TL;DR

This paper derives explicit formulas for N=1 superconformal blocks with Ramond fields using the AGT correspondence, connecting 4D supersymmetric gauge theories with 2D conformal field theories.

Contribution

It provides the first explicit expressions for these superconformal blocks in terms of Nekrasov partition functions and WZW model correlators, expanding the AGT correspondence.

Findings

Explicit formulas for 4-point NSR conformal blocks with Ramond fields.

Connection between superconformal blocks and Nekrasov partition functions.

Linking 2D CFT correlation functions with 4D gauge theory data.

Abstract

We use AGT correspondence between N=2 SUSY Yang-Mills theory on ${\mathbb R}^4/{\mathbb Z}_2$ and two-dimensional CFT model with the algebra $ {\cal H} \oplus \hat{sl}(2)_2 \oplus \text{NSR}$ to obtain the explicit expressions for 4-point NSR conformal blocks including Ramond fields in terms of Nekrasov partition functions and correlation functions of $\hat{sl}(2)_2$ WZW model.