Abstract
We generalize the Giveon-Kutasov duality by adding possible Chern-Simons interactions for the U(N) gauge group. Some of the generalized dualities are known in the literature and many others are new to the best of our knowledge. The dualities are connected to the non-supersymmetric bosonization duality via mass deformations. For N = 1, there are an infinite number of magnetic-dual theories.
Highlights
The rest of this paper is organized as follows: in section 2, we will propose the generalized Giveon-Kutasov duality and discuss the connection with the non-supersymmetric bosonization duality by breaking supersymmetry with mass terms for the gaugino field
In the SUSY CS gauge theory, the gaugino field is auxiliary and only has a mass term which is proportional to the CS level
We will claim that this term can be understood as the dressed monopole operators which are not part of the moduli space: on the electric side, the insertion of the monopole X± leads to the gauge symmetry breaking
Summary
The rest of this paper is organized as follows: in section 2, we will propose the generalized Giveon-Kutasov duality and discuss the connection with the non-supersymmetric bosonization duality by breaking supersymmetry with mass terms for the gaugino field. We have to consider the different Coulomb branch (monopole operator) X±k=2 whose insertion leads to the gauge symmetry breaking Due to the level-2 mixed CS term, the bare Coulomb branch X±k=2 is not gauge-invariant.
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