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.
Highlights
The understanding of the dynamics of SUSY gauge theories was revolutionized in the mid1990s due to the seminal work of Seiberg and Intriligator on N = 1 theories [1,2,3], and Seiberg and Witten for N = 2 theories [4, 5]
We investigate the IR dynamics of N = 2 SUSY gauge theories in 3D with antisymmetric matter
We find that for the s-confining case with two antisymmetric fields, a second unlifted Coulomb branch direction appears in the low-energy dynamics
Summary
We identify two unlifted directions: the standard Y direction found in the presence of fundamental matter fields and a new Y direction arising from the additional splitting of the Coulomb branch due to massless components of the antisymmetric matter fields — this direction is related to the unlifted Coulomb branch modulus of SO(6) theories with vectors Using this insight we apply the program of [34] to the simplest examples of 4D models with antisymmetric matter and known 4D dynamics: the s-confining [38,39,40] SU(4) gauge theories with either two antisymmetrics and three flavors or one antisymmetric and four flavors. We perform several consistency checks, including the matching of quantum numbers, reproducing the quantum modified constraints expected for theories on a circle, and connecting it to theories with fewer flavors, establishing a consistent, intricate web of IR dynamics of several SU(4) theories with antisymmetric matter and flavors Our experience with these theories leads us to speculate on the classification of the Coulomb branch structure for general s-confining theories in 3D.
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