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

We study the dynamics of an 'electric' N = 1 3D U(Nc)(k,k+Nc/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 N-f/2 < 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 N-f/2 < 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.

Automated summary

We study the dynamics of an 'electric' N = 1 3D U(Nc)(k,k+Nc/2) SQCD theory by embedding it in string theory. We propose a 'magnetic' dual for the theory and analyze its low energy dynamics using the dual. We also discuss the behavior of the theory under non-supersymmetric mass deformations and near the SUSY point.