Abstract
We obtain the brane setup describing 3d $\mathcal{N}=2$ dualities for $USp(2N_c)$ and $U(N_c)$ SQCD with monopole superpotentials. This classification follows from a complete analysis of affine and twisted affine compactifications from 4d. The analysis leads to a new duality for the unitary case that has been previously overlooked in the literature. We check this by matching of the three sphere partition function of the two sides of this new duality and find a perfect agreement. Furthermore we use the partition function to predict new 3d $\mathcal{N}=2$ dualities for SQCD with monopole superpotentials and tensorial matter.
Highlights
In the recent past there has been remarkable progress in the understanding of 3d dualities with and without supersymmetry
The analysis leads to a new duality for the unitary case that has previously been overlooked in the literature
In the first part of the paper we provided a brane picture of such dualities for SQCD with symplectic and unitary gauge groups
Summary
In the recent past there has been remarkable progress in the understanding of 3d dualities with and without supersymmetry. The reason is that these operators can be used to modify the path integral and to constrain the global symmetries These constraints give raise to nontrivial IR relations, deforming old dualities and generating new ones. This phenomenon has been largely studied in 3d N 1⁄4 2 SQCD with linear and quadratic monopole superpotentials. By real mass flow it was shown that there are more general types of monopole superpotentials for Uð1Þ theories The generalization of this phenomenon to USpð2NcÞ with an antisymmetric and eight fundamentals was recently discussed in [17,18,19]. (ii) We find new dualities with quadratic monopole superpotentials for UðNcÞ SQCD with and adjoint and USpð2NcÞ SQCD with an antisymmetric
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