Dualities of 3D \U0001d4a9 = 1 SQCD from Branes and non-SUSY deformations

Abstract

We study the dynamics of an ‘electric’ \U0001d4a9 = 1 3D textrm{U}{left({N}_cright)}_{k,k+frac{N_c}{2}} SQCD theory. By embedding the theory in string theory, we propose that the theory admits a ‘magnetic’ dual and analyse the low energy dynamics of the theory using its dual. When frac{N_f}{2}ge frac{N_c}{2}-k the IR dynamics is described by either a TQFT for large quark masses, or a Grassmannian and a Wess-Zumino (WZ) term for small masses. We also consider non-supersymmetric mass deformations and RG flows in the vicinity of the SUSY point and find agreement between the IR of the electric and its magnetic dual. When frac{N_f}{2}<frac{N_c}{2}-k supersymmetry is broken and the IR dynamics is a described by a TQFT accompanied by a Goldstino. We also discuss SQCD theories based on SO/USp gauge groups.