't Hooft Operators in Gauge Theory from Toda CFT

TL;DR

This paper constructs loop operators in Toda CFT and uses them to compute exact expectation values of 't Hooft and dyonic loops in 4D cal=2 SU(N) gauge theories, linking CFT techniques to gauge theory observables.

Contribution

It provides explicit formulas for 't Hooft and dyonic operators in cal=2^* and conformal SQCD, and explores their realization via Toda CFT topological web operators.

Findings

Explicit formulas for loop operators in specific gauge theories.

Exact expectation values computed using Toda CFT methods.

Speculative framework for general loop operators via topological webs.

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.