Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking

Abstract

In the framework of N=2 conformal supergravity in four dimensions, we introduce a nilpotent chiral superfield suitable for the description of partial supersymmetry breaking in maximally supersymmetric spacetimes. As an application, we construct Maxwell-Goldstone multiplet actions for partial N=2 --> N=1 supersymmetry breaking on R x S^3, AdS_3 x S^1 (or its covering AdS_3 x R), and a pp-wave spacetime. In each of these cases, the action coincides with a unique curved-superspace extension of the N=1 supersymmetric Born-Infeld action, which is singled out by the requirement of U(1) duality invariance.

21 pages; V2: comments, references, and a new appendix added (28 pages); V3: published version

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• Goldstino superfields in N=2 supergravity
• Symmetries of supergravity backgrounds and supersymmetric field theory
• Killing superalgebras for Lorentzian four-manifolds
• Supersymmetric Born-Infeld actions and new Fayet-Iliopoulos terms
• New nilpotent $\mathcal{N}=2$ superfields
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• New Fayet-Iliopoulos terms in $\mathcal{N}=2$ supergravity
• Construction of the de Sitter supergravity
• Maximally supersymmetric solutions of $R^2$ supergravity
• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
• Two-Field Born-Infeld with Diverse Dualities
• Interpolation of partial and full supersymmetry breakings in $\mathcal{N}=2$ supergravity
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Non-linear realisations in global and local supersymmetry
• Constrained Superfields in Dynamical Background
• Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity
• Goldstino superfields in supergravity
• ALP Constraints in Gauged $\mathcal{N}=2$ Supergravity
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity