Aspects of Massive ABJM Models with Inhomogeneous Mass Parameters

Abstract

Recently, $\mathcal{N}=3$ mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the $\mathcal{N}=3$ case, we construct lower supersymmetric $\mathcal{N}=1$ and $\mathcal{N}=2$ inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the $\mathcal{N}=3$ ImABJM model for any periodic mass-function. There are two classes of vacua, which are diagonal type and GRVV type according to reference value of mass-functions. We provide explicit examples of the vacuum solutions and discuss related operators.

30 pages, 4 figures, Typos corrected

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