Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux

Abstract

We consider $(2+1)$-dimensional mass-deformed SYM theories and their M-theory origin. These are obtained from MP Higgsing of ABJM theory with constant flux and fixing the mass terms via supersymmetry completion. Depending on the choice of the flux, we obtain $\mathcal{N}=1$, $\mathcal{N}=2$, and $\mathcal{N}=4$ mass-deformed SYM theories. For each of these cases we solve the vacuum equation and obtain the fuzzy two sphere solution for the first two cases. We also discuss the D-brane interpretation of the obtained mass-deformed SYM theories.

22 pages, no figure, vacuum solutions are more generalized, published version in JHEP

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Cited by in corpus (5)

• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Partially Supersymmetric ABJM Theory with Flux
• Super Yang-Mills Theories with Inhomogeneous Mass Deformations
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory