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ABCD of 't Hooft operators

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arxiv 2012.12275 v2 pith:7UL3YPMD submitted 2020-12-22 hep-th

Hirotaka Hayashi , Takuya Okuda , Yutaka Yoshida This is my paper · ORCID
classification hep-th
keywords hooftoperatorssupersymmetrictheoriesgaugeabcdbranescalculating
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 1 Pith paper

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  1. S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices

    hep-th 2025-05 conditional novelty 7.0 of 10

    Boundary Wilson and 't Hooft line two-point functions in N=4 SYM match exactly under S-duality, with closed forms from Macdonald polynomials.

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