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arXiv · 2303.13597

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

Adi Armoni·Ricardo Stuardo
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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.

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Adi Armoni, Ricardo Stuardo. 2023-03-23. Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations. https://doi.org/10.1007/jhep06(2023)180

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