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arXiv · 1901.08642

3d "chiral" Kutasov-Schwimmer duality

Keita Nii
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Abstract

We propose a "chiral" version of the Kutasov-Schwimmer duality in a 3d $\mathcal{N}=2$ $SU(N)$ gauge theory with $F$ fundamental matters, $\bar{F}$ anti-fundamental matters and an adjoint matter $X$ with a tree-level superpotential $W= \mathrm{tr} \, X^{k+1}$. The theory exhibits a rich structure of the baryonic and (dressed) Coulomb branch operators. At first sight, the duality seems bad due to the mismatch of the anti-baryonic branch in the moduli space of vacua. The duality well works by realizing that the anti-baryonic operators are identified with some of the dressed Coulomb branch coordinates under the proposed duality. This generalizes the $SU(N)$ ``chiral'' duality with (anti-)fundamental matters, which we previously proposed.

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Keita Nii. 2019-01-24. 3d "chiral" Kutasov-Schwimmer duality. https://doi.org/10.1016/j.nuclphysb.2020.114920

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