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arXiv · 1710.00535

Complex three-form supergravity and membranes

Sergei M. Kuzenko·Gabriele Tartaglino-Mazzucchelli
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Abstract

There exist two variants of the old minimal formulation for ${\cal N}=1$ supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as three-form supergravity and complex three-form supergravity, respectively. For each of them, we present a super-Weyl invariant coupling of supergravity to the supermembrane and prove kappa-invariance of the resulting action. In the case of three-form supergravity, we demonstrate that the action constructed reduces to that given by Ovrut and Waldram twenty years ago upon imposing a super-Weyl gauge in which the compensating three-form superfield is set to a constant.

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Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli. 2017-10-02. Complex three-form supergravity and membranes. https://doi.org/10.1007/jhep12(2017)005

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