Abstract
We study three-dimensional supersymmetric quiver gauge theories with a nonsimply laced global symmetry primarily focusing on framed affine B N quiver theories. Using a supersymmetric partition function on a three sphere, and its transformation under S-duality, we study the three-dimensional ADHM quiver for SO(2N + 1) instantons with a half-integer Chern-Simons coupling. The theory after S-duality has no Lagrangian, and can not be represented by a single quiver, however its partition function can be conveniently described by a collection of framed affine B N quivers. This correspondence can be conjectured to generalize three-dimensional mirror symmetry to theories with nontrivial Chern-Simons terms. In addition, we propose a formula for the superconformal index of a theory described by a framed affine B N quiver.
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Dey, A., Hanany, A., Koroteev, P. et al. On three-dimensional quiver gauge theories of type B. J. High Energ. Phys. 2017, 67 (2017). https://doi.org/10.1007/JHEP09(2017)067
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DOI: https://doi.org/10.1007/JHEP09(2017)067