Abstract
We study the dynamics of an ‘electric’ 𝒩 = 1 3D \( \textrm{U}{\left({N}_c\right)}_{k,k+\frac{N_c}{2}} \) 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.
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Acknowledgments
We are thankful to Amit Giveon, Zohar Komargodski, David Kutasov, Vasilis Niarchos and Adar Sharon for valuable comments. The work of R.S. is supported by STFC grant ST/W507878/1.
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Armoni, A., Stuardo, R. Dualities of 3D 𝒩 = 1 SQCD from Branes and non-SUSY deformations. J. High Energ. Phys. 2023, 180 (2023). https://doi.org/10.1007/JHEP06(2023)180
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DOI: https://doi.org/10.1007/JHEP06(2023)180