Dualities for three-dimensional N $$ \mathcal{N} $$ = 2 SU(N c ) chiral adjoint SQCD

Abstract

Abstract We study dualities for 3d N $$ \mathcal{N} $$ = 2 SU(N c ) SQCD at Chern-Simons level k in presence of an adjoint with polynomial superpotential. The dualities are dubbed chiral because there is a different amount of fundamentals N f and antifundamentals N a . We build a complete classification of such dualities in terms of |N f − N a | and k. The classification is obtained by studying the flow from the non-chiral case, and we corroborate our proposals by matching the three-sphere partition functions. Finally, we revisit the case of SU(N c ) SQCD without the adjoint, comparing our results with previous literature.

Keywords

• Chern-Simons Theories
• Supersymmetry and Duality
• Duality in Gauge Field Theories
• Supersymmetric Gauge Theory