Partially Supersymmetric ABJM Theory with Flux

Abstract

Starting with generic Wess-Zumino type coupling to constant four-form and the dual seven-form field strengths in the ABJM theory, we obtain mass-deformed theories with $\mathcal{N}=2,4$ supersymmetries. These theories contain massless scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing procedure. Using this procedure, we connect the Higgsed theories to three-dimensional mass-deformed SYM theories. These are also connected by the four-dimensional $\mathcal{N}=1^{\ast },2^{\ast }$ mass-deformed SYM theories through dimensional reduction. We classify the three-dimensional mass-deformed SYM theories of $\mathcal{N}=1,2,4$ supersymmetry, of which a few cases of $\mathcal{N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional reduction.

22 pages, 1 figure

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Cited by in corpus (1)

• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory