Complex three-form supergravity and membranes

• Main Authors: Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli
• Format: Article
• Language: English
• Published: SpringerOpen 2017-12-01
• Series: Journal of High Energy Physics
• Subjects: p-branes; Supergravity Models; Superspaces
• Online Access: http://link.springer.com/article/10.1007/JHEP12(2017)005

Abstract There exist two variants of the old minimal formulation for N $$ \mathcal{N} $$ = 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.