On Three-Dimensional Quiver Gauge Theories of Type B

Abstract

We study three-dimensional supersymmetric quiver gauge theories with a non-simply 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.

39 pages, 7 figures

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• Fractional quiver W-algebras
• Magnetic quivers for rank 2 theories
• Fibrations and Hasse diagrams for 6d SCFTs
• Folding Orthosymplectic Quivers
• Quiver origami: discrete gauging and folding
• Ungauging Schemes and Coulomb Branches of Non-simply Laced Quiver Theories
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• Quantum integrability from non-simply laced quiver gauge theory
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
• Supersymmetric Wilson Loops, Instantons, and Deformed $\mathcal{W}$-Algebras
• Crystal bases and three-dimensional $\mathcal{N}=4$ Coulomb branches