Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets

Abstract

We present the complete supersymmetric and $\kappa$--symmetric action for the 4-dimensional interacting system of open supermembrane, dynamical supergravity and 3--form matter multiplets. The cases of a single 3-form matter multiplet and a quite generic model with a number of nonlinear interacting double 3-form multiplets are considered. In all cases the fermionic parameter of the $\kappa$-symmetry is subject to two apparently different projection conditions which suggests that the ground state of the system, in particular a domain junction, might preserve at most 1/4 of the spacetime supersymmetry. The boundary term of the open supermembrane action, needed to preserve the $\kappa$-symmetry, has the meaning of the action of a superstring. The Wess--Zumino term of this superstring action is expressed in terms of real linear superfield playing the role of Stückelberg field for the 3--form gauge symmetry. This indicates that this symmetry is broken spontaneously by the superstring at the boundary of supermembrane.

26 pages, no figures. V2: some comments and references added. Published version

References in corpus (10)

• The Swampland Distance Conjecture and Towers of Tensionless Branes
• Three-Form Gauging of axion Symmetries and Gravity
• D-brane networks in flux vacua, generalized cycles and calibrations
• How many fluxes fit in an EFT?
• The supersymmetric anti-D3-brane action in KKLT
• Complex three-form supergravity and membranes
• Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• On dynamical supergravity interacting with super-p-brane sources
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM

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