Towards a 4d/2d correspondence for Sicilian quivers

Abstract

We study the 4d/2d AGT correspondence between four-dimensional instanton counting and two-dimensional conformal blocks for generalized SU(2) quiver gauge theories coming from punctured Gaiotto curves of arbitrary genus. We propose a conformal block description that corresponds to the elementary SU(2) trifundamental half-hypermultiplet, and check it against Sp(1)-SO(4) instanton counting.

39 pages, 11 figures

References in corpus (10)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• Tinkertoys for Gaiotto Duality
• Asymptotically free N=2 theories and irregular conformal blocks
• Tinkertoys for the D_N series
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• On certain aspects of string theory/gauge theory correspondence
• From SO/Sp instantons to W-algebra blocks
• Generalized matrix models and AGT correspondence at all genera

Cited by in corpus (26)

• Wild Quiver Gauge Theories
• The ABCDEFG of Instantons and W-algebras
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• Classification of 4d N=2 gauge theories
• A slow review of the AGT correspondence
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory
• Instantons from Blow-up
• A brief review of the 2d/4d correspondences
• Higgs, Coulomb, and Hall-Littlewood
• General instanton counting and 5d SCFT
• Instanton counting and O-vertex
• A geometric recipe for twisted superpotentials
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Trinion Conformal Blocks from Topological strings
• The integral representation of solutions of KZ equation and a modification by $\mathcal{K}$ operator insertion
• Recursive Representations of Arbitrary Virasoro Conformal Blocks
• Argyres-Douglas Theories, S-duality and AGT Correspondence
• Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks
• Tau-functions for Quiver Gauge Theories
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• The gravity duals of SO/USp superconformal quivers
• $t{t}^{\ast }$ Toda equations for surface defects in $\mathcal{N}=2$ SYM and instanton counting for classical Lie groups
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• c-Recursion for multi-point superconformal blocks. NS sector