Supermembrane interaction with dynamical D=4 N=1 supergravity. Superfield Lagrangian description and spacetime equations of motion

Abstract

We obtain the complete set of equations of motion for the interacting system of supermembrane and dynamical D=4 N = 1 supergravity by varying its complete superfield action and writing the resulting superfield equations in the special gauge where the supermembrane Goldstone field is set to zero. We solve the equations for auxiliary fields and discuss the effect of dynamical generation of cosmological constant in the Einstein equation of interacting system and its renormalization due to some regular contributions from supermembrane. These two effects (discussed in late 70th and 80th, in the bosonic perspective and in the supergravity literature) result in that, generically, the cosmological constant has different values in the branches of the spacetime separated by the supermembrane worldvolume.

23 pages, no figures. V2 two references added, 24 pages

References in corpus (5)

• From Linear SUSY to Constrained Superfields
• Variant supercurrent multiplets
• Variant supercurrents and Noether procedure
• Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent
• Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet

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• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• Tameness, Strings, and the Distance Conjecture
• Complex three-form supergravity and membranes
• Three-forms, Supersymmetry and String Compactifications
• Three-form multiplet and supersymmetry breaking
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• Higher Forms and Membranes in 4D Supergravities
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• de Sitter decay through goldstino evaporation
• Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets
• Gravitational lensing by traversable wormholes supported by three-form fields