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 (19)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• 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)
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• Affine SL(2) conformal blocks from 4d gauge theories
• Multi instanton calculus on ALE spaces
• Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Instantons on ALE spaces and Super Liouville Conformal Field Theories
• Instantons and 2d Superconformal field theory
• Ramond sector of super Liouville theory from instantons on an ALE space
• Recursion representation of the Neveu-Schwarz superconformal block
• Parafermionic Liouville field theory and instantons on ALE spaces
• N=1 SUSY Conformal Block Recursive Relations
• Elliptic recurrence representation of the N=1 superconformal blocks in the Ramond sector
• Poincare polynomial of moduli spaces of framed sheaves on (stacky) Hirzebruch surfaces
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• N=2 superconformal blocks and instanton partition functions
• Conformal blocks of Chiral fields in N=2 SUSY CFT and Affine Laumon Spaces

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• M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
• Scheme dependence of instanton counting in ALE spaces
• Coset conformal field theory and instanton counting on C^2/Z_p
• q-Vertex Operator from 5D Nekrasov Function
• Super-Liouville - Double Liouville correspondence
• 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
• S-move matrix in the NS sector of $N=1$ super Liouville field theory
• Coloured refined topological vertices and parafermion conformal field theories