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arXiv · 1803.01405

Three-forms, dualities and membranes in four-dimensional supergravity

Igor Bandos·Fotis Farakos·Stefano Lanza·Luca Martucci·Dmitri Sorokin
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Abstract

We consider four-dimensional $\mathcal{N}=1$ supergravity models of a kind appearing in string flux compactifications. It has been recently shown that, by using double three-form multiplets instead of ordinary chiral multiplets, one can promote to dynamical variables (part of) the quantized numbers appearing in the flux-induced superpotential. We show that double three-form multiplets naturally transform under symplectic dualities associated with the special Kähler structure that characterizes their scalar sector. Furthermore, we discuss how to couple membranes which carry arbitrary `electric-magnetic' charges. The complete action is supersymmetric, kappa-symmetric and duality covariant. As an application, we derive the flow equations for BPS domain walls sourced by membranes and give simple analytic examples of their solution.

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Igor Bandos, Fotis Farakos, Stefano Lanza, Luca Martucci, Dmitri Sorokin. 2018-07-10. Three-forms, dualities and membranes in four-dimensional supergravity. https://doi.org/10.1007/jhep07(2018)028

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