Abstract We study three-dimensional supersymmetric quiver gauge theories with a nonsimply laced global symmetry primarily focusing on framed affine Western shirt 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 Round Insert Pans 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.