ABCD of 't Hooft operators

Abstract

We compute by supersymmetric localization the expectation values of half-BPS 't Hooft line operators in $\mathcal{N}=2$ $U(N)$, $SO(N)$ and $USp(N)$ gauge theories on $S^1\times {\mathbb{R}}^3$ with an $\Omega$-deformation. We evaluate the non-perturbative contributions due to monopole screening by calculating the supersymmetric indices of the corresponding supersymmetric quantum mechanics, which we obtain by realizing the gauge theories and the 't Hooft operators using branes and orientifolds in type II string theories.

76 pages, many figures; v2: comments added, statements clarified, typos fixed, version in JHEP

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• Embedding Integrable Superspin Chain in String Theory
• Superspin Chains Solutions from 4D Chern-Simons Theory
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Complex D($2,1;\zeta$) and spin chain solutions from Chern-Simons theory
• $\mathcal{N}=4$ line defect correlators of type BCD
• Schur Connections: Chord Counting, Line Operators, and Indices
• 't Hooft surface operators in five dimensions and elliptic Ruijsenaars operators