't Hooft Operators in Gauge Theory from Toda CFT

Abstract

We construct loop operators in two dimensional Toda CFT and calculate with them the exact expectation value of certain supersymmetric 't Hooft and dyonic loop operators in four dimensional \Ncal=2 gauge theories with SU(N) gauge group. Explicit formulae for 't Hooft and dyonic operators in \Ncal=2^* and \Ncal=2 conformal SQCD with SU(N) gauge group are presented. We also briefly speculate on the Toda CFT realization of arbitrary loop operators in these gauge theories in terms of topological web operators in Toda CFT.

49 pages, LaTeX. Typos fixed, references added

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Cited by in corpus (18)

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• Defects and Quantum Seiberg-Witten Geometry
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• M2-brane surface operators and gauge theory dualities in Toda
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Line Operator Index on S1 $\times$ S3
• The superconformal index and an elliptic algebra of surface defects
• A slow review of the AGT correspondence
• AGT/Z${}_2$
• On Monopole Bubbling Contributions to 't Hooft Loops
• Orbifolds, Defects and Sphere Partition Function
• Higher rank isomonodromic deformations and W-algebras
• S-duality wall of SQCD from Toda braiding
• Wall-crossing and operator ordering for 't Hooft operators in N=2 gauge theories
• Wilson punctured network defects in 2D q-deformed Yang-Mills theory
• SUSY localization for Coulomb branch operators in omega-deformed 3d N=4 gauge theories