Dualities for three-dimensional $$ \mathcal{N} $$ = 2 SU(Nc) chiral adjoint SQCD
Antonio Amariti, Marco Fazzi
Abstract
A bstract We study dualities for 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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.