Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions

Abstract

We develop off-shell formulations for $\mathcal{N}=1$ and $\mathcal{N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with $\mathcal{N}=1$ or $\mathcal{N}=2$ spacetime supersymmetry. In addition to being $\kappa$-symmetric, the Green-Schwarz superstring actions constructed are also invariant under super-Weyl transformations of the target space. We also present a detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained by coupling the known off-shell $\mathcal{N}=1$ and $\mathcal{N}=2$ supergravity theories to nilpotent Goldstino superfields.

63 pages; V2: minor corrections

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• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• Three-forms, Supersymmetry and String Compactifications
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• Super Non-Abelian T-Duality
• Classical de Sitter solutions in three dimensions without tachyons?
• Higher Forms and Membranes in 4D Supergravities
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• Minimal constrained superfields and the Fayet-Iliopoulos model