Observations on the Partial Breaking of $N=2$ Rigid Supersymmetry

Abstract

We study the partial breaking of $N=2$ rigid supersymmetry for a generic rigid special geometry of $n$ abelian vector multiplets in the presence of Fayet-Iliopoulos terms induced by the Hyper-Kähler momentum map. By exhibiting the symplectic structure of the problem we give invariant conditions for the breaking to occur, which rely on a quartic invariant of the Fayet-Iliopoulos charges as well as on a modification of the $N=2$ rigid symmetry algebra by a vector central charge.

arXiv comment7 pages, LaTeX source

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• Gapped gravitinos, isospin $\frac{1}{2}$ particles and $\mathcal{N}=2$ partial breaking
• Two-Field Born-Infeld with Diverse Dualities
• $\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Observations on BI from $\mathcal{N}=2$ Supergravity and the General Ward Identity
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Partial Breaking in Rigid Limit of $\mathcal{N}=2$ Gauged Supergravity
• On the partial breaking of $\mathcal{N}=2$ rigid supersymmetry with complex hypermultiplet
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory