N=1 superconformal blocks with Ramond fields from AGT correspondence

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 $\mathcal{H}\oplus \widehat{sl}(2{)}_2\oplus \text{NSR}$ to obtain the explicit expressions for 4-point NSR conformal blocks including Ramond fields in terms of Nekrasov partition functions and correlation functions of $\widehat{sl}(2{)}_2$ WZW model.

a reference corrected, version for JHEP

References in corpus (3)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• On AGT relation in the case of U(3)
• N=1 SUSY Conformal Block Recursive Relations

Cited by in corpus (4)

• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• On the Renormalization Group Flow in Two Dimensional Superconformal Models
• $n$-th parafermion ${\mathcal{W}}_N$ characters from $U(N)$ instanton counting on ${\mathbb{C}}^2/{\mathbb{Z}}_n$
• The light asymptotic limit of conformal blocks in $\mathcal{N}=1$ super Liouville field theory