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

Abstract

Abstract We study dualities for 3d $$ \mathcal{N} $$ N = 2 SU(Nc) 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 Nf and antifundamentals Na. We build a complete classification of such dualities in terms of |Nf− Na| 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(Nc) SQCD without the adjoint, comparing our results with previous literature.