Higher Forms and Membranes in 4D Supergravities

Abstract

We review the dynamical generation of coupling constants in 4D supergravity by means of gauge three-form fields. The latter are introduced as components of particular chiral supermultiplets and can be coupled to membranes preserving local supersymmetry. Such a set-up naturally arises from type-II string compactifications on Calabi-Yau manifolds with fluxes. We present generic 4D $\mathcal{N}=1$ supergravity models with three-form multiplets and study domain wall solutions supported by membranes, which interpolate between vacua with different values of the cosmological constant.

13 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

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• Emergent discrete 3-form symmetry and domain walls
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• de Sitter decay through goldstino evaporation
• A Note on Membrane Interactions and the Scalar potential
• Supergravities and Branes from Hilbert-Poincaré Series