Abstract
We present various confinement phases in three-dimensional mathcal{N} = 2 Spin(N) gauge theories with vector and spinor matters. The quantum Coulomb branch in the moduli space of vacua is drastically modified when the rank of the gauge group and the matter contents are changed. In many examples, the Coulomb branch is one- or two-dimensional but its interpretation varies. In some examples, the Coulomb branch becomes three-dimensional and we need to introduce a “dressed” Coulomb branch operator.
Highlights
Strongly-coupled gauge theories exhibit various phases depending on the gauge group, matter contents, spacetime dimensions, and so on
We present various confinement phases in three-dimensional N = 2 Spin(N ) gauge theories with vector and spinor matters
We found that the Coulomb moduli space is one- or two-dimensional depending on the matter contents and found various s-confinement phases
Summary
Strongly-coupled gauge theories exhibit various phases depending on the gauge group, matter contents, spacetime dimensions, and so on. The low-energy dynamics is described by the Higgs branch operators MQQ, MSS, P2, P4 defined in table 2 and the two Coulomb branch coordinates. The Y direction is not allowed since the low-energy SO(6) gauge theory contains only three vectors and there is no stable SUSY vacuum.
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