Corpus ID: 233481866

# 't Hooft surface operators in five dimensions and elliptic Ruijsenaars operators

@inproceedings{Yoshida2021tHS,
title={'t Hooft surface operators in five dimensions and elliptic Ruijsenaars operators},
author={Yutaka Yoshida},
year={2021}
}
We introduce codimension three magnetically charged surface operators in fivedimensional (5d) N = 1 supersymmetric gauge on T 2 × R3. We evaluate the vacuum expectation values (vevs) of surface operators by supersymmetric localization techniques. Contributions of Monopole bubbling effects to the path integral are given by elliptic genera of world volume theories on D-branes. Our result gives an elliptic deformation of the SUSY localization formula [1] (resp. [2, 3]) of BPS ’t Hooft loops (resp… Expand

#### References

SHOWING 1-10 OF 36 REFERENCES
Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Physics
• 2011
We perform an exact localization calculation for the expectation values of Wilson-'t Hooft line operators in N=2 gauge theories on S^1xR^3. The expectation values are naturally expressed in terms ofExpand
SUSY localization for Coulomb branch operators in omega-deformed 3d N=4 gauge theories
• Physics, Mathematics
• 2019
We perform SUSY localization for Coulomb branch operators of 3d $\mathcal{N}=4$ gauge theories in $\mathbb{R}^3$ with $\Omega$-deformation. For the dressed monopole operators whose expectation valuesExpand
ABCD of ’t Hooft operators
• Physics
• 2020
We compute by supersymmetric localization the expectation values of half-BPS ’t Hooft line operators in N = 2 U(N), SO(N) and USp(N) gauge theories on S1 × R3 with an Ω-deformation. We evaluate theExpand
Wilson-’t Hooft lines as transfer matrices
• Physics
• 2020
We establish a correspondence between a class of Wilson-’t Hooft lines in four-dimensional N $$\mathcal{N}$$ = 2 supersymmetric gauge theories described by circular quivers and transfer matricesExpand
Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian
• Mathematics, Physics
• Advances in Theoretical and Mathematical Physics
• 2019
This is a companion paper of arXiv:1601.03586. We study Coulomb branches of unframed and framed quiver gauge theories of type $ADE$. In the unframed case they are isomorphic to the moduli space ofExpand
On monopole bubbling contributions to ’t Hooft loops
• Physics, Mathematics
• Journal of High Energy Physics
• 2019
A bstractMonopole bubbling contributions to supersymmetric ’t Hooft loops in 4d N$$\mathcal{N}$$ = 2 theories are computed by SQM indices. As recently argued, those indices are hard to compute dueExpand
Quantized Coulomb Branches, Monopole Bubbling and Wall-Crossing Phenomena in 3d N = 4 Theories
To study the quantized Coulomb branch of 3d N = 4 unitary SQCD theories, we propose a new method to compute correlators of monopole and Casimir operators that are inserted in the R × R2 OmegaExpand
Wall-crossing and operator ordering for ’t Hooft operators in $$\mathcal{N}$$ = 2 gauge theories
• Physics, Mathematics
• Journal of High Energy Physics
• 2019
Abstract We study half-BPS ’t Hooft line operators in 4d $$\mathcal{N}$$ N = 2 U(N ) gauge theories on S 1 × ℝ3 with an Ω-deformation. The recently proposed brane construction ofExpand
On ’t Hooft defects, monopole bubbling and supersymmetric quantum mechanics
• Physics
• Journal of High Energy Physics
• 2018
A bstractWe revisit the localization computation of the expectation values of ’t Hooft operators in N$$\mathcal{N}$$ = 2* SU(N) theory on ℝ3 × S1. We show that the part of the answer arising fromExpand
t Hooft Defects and Wall Crossing in SQM
• Physics, Mathematics
• 2018
Abstract In this paper we study the contribution of monopole bubbling to the expectation value of supersymmetric ’t Hooft defects in Lagrangian theories of class S on ℝ3 × S 1. This can beExpand