Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter

Abstract

We investigate the IR dynamics of N=2 SUSY gauge theories in 3D with antisymmetric matter. The presence of the antisymmetric fields leads to further splitting of the Coulomb branch. Counting zero modes in the instanton background suggests that more than a single direction along the Coulomb branch may remain unlifted. We examine the case of SU(4) with one or two antisymmetric fields and various flavors in detail. Using the results for the corresponding 4D theories, we find the IR dynamics of the 3D cases via compactification and a real mass deformation. We find that for the s-confining case with two antisymmetric fields, a second unlifted Coulomb branch direction indeed appears in the low-energy dynamics. We present several non-trivial consistency checks to establish the validity of these results. We also comment on the expected structure of general s-confining theories in 3D, which might involve several unlifted Coulomb branch directions.

18 pages + appendices and references, 3 figures; v2: references corrected and updated

References in corpus (5)

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Cited by in corpus (5)

• 3d duality with adjoint matter from 4d duality
• A journey to 3d: exact relations for adjoint SQCD from dimensional reduction
• Coulomb branch in 3d $\mathcal{N}=2$ $SU(N{)}_k$ Chern-Simons gauge theories with chiral matter content
• Confinement in 3d $\mathcal{N}=2$ exceptional gauge theories
• On s-confinement in 3d $\mathcal{N}=2$ gauge theories with anti-symmetric tensors