The tensor hierarchies of pure N = 2, d = 4, 5, 6 supergravities

Abstract

We study the supersymmetric tensor hierarchy of pure (gauged) N = 2, d = 4, 5, 6 supergravity and compare them with those of the pure, ungauged, theories (worked out in ref. [1] for d = 5) and the predictions of the Kač-Moody approach made in ref. [2]. We find complete agreement in the ungauged case but we also find that, after gauging, new Stückelberg symmetries reduce the number of independent physical top-forms. The analysis has to be performed to all orders in fermion fields. We discuss the construction of the worldvolume effective actions for the p-branes which are charged with respect to the (p + 1)-form potentials and the relations between the tensor hierarchies and p-branes upon dimensional reduction.