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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Bandos, I., Farakos, F., Lanza, S. et al. Three-forms, dualities and membranes in four-dimensional supergravity. J. High Energ. Phys. 2018, 28 (2018). https://doi.org/10.1007/JHEP07(2018)028
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DOI: https://doi.org/10.1007/JHEP07(2018)028