Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations

Abstract

We study the dynamics of an 'electric' $\mathcal{N}=1$ 3D $U(N_c{)}_{k,k+\frac{N_c}{2}}$ 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 Grassmanian 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.

arXiv commentv1: 13 pages, 2 figures. v2: 14 pages, 2 figures. Few comments added. Version to appear in JHEP

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• 5d SCFTs and their non-supersymmetric cousins