Journal of High Energy Physics (Dec 2019)

Aspects of massive ABJM models with inhomogeneous mass parameters

  • Kyung Kiu Kim,
  • Yoonbai Kim,
  • O-Kab Kwon,
  • Chanju Kim

DOI
https://doi.org/10.1007/JHEP12(2019)153
Journal volume & issue
Vol. 2019, no. 12
pp. 1 – 27

Abstract

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Abstract Recently, N $$ \mathcal{N} $$ = 3 mass-deformed ABJM model with arbitrary mass-function depending on a spatial coordinate was constructed. In addition to the N $$ \mathcal{N} $$ = 3 case, we construct lower supersymmetric N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 inhomogeneously mass-deformed ABJM (ImABJM) models, which require three and two arbitrary mass-functions, respectively. We also construct general vacuum solutions of the N $$ \mathcal{N} $$ = 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.

Keywords