N = 1 supercurrents of elevendimensional supergravity
Abstract
Elevendimensional supergravity can be formulated in superspaces locally of the form X × Y where X is 4D N = 1 conformal superspace and Y is an arbitrary 7manifold admitting a G _{2}structure. The elevendimensional 3form and the stable 3form on Y define the lowest component of a gauge superfield on X × Y that is chiral as a superfield on X. This chiral field is part of a tensor hierarchy giving rise to a superspace ChernSimons action and its real field strength defines a lifting of the Hitchin functional on Y to the G _{2} superspace X × Y . These terms are those of lowest order in a superspace Noether expansion in seven N = 1 conformal gravitino superfields Ψ. In this paper, we compute the O(Ψ) action to all orders in the remaining fields. The elevendimensional origin of the resulting nonlinear structures is parameterized by the choice of a complex spinor on Y encoding the offshell 4D N = 1 subalgebra of the elevendimensional superPoincaré algebra.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2018
 DOI:
 10.1007/JHEP05(2018)128
 arXiv:
 arXiv:1803.00050
 Bibcode:
 2018JHEP...05..128B
 Keywords:

 Extended Supersymmetry;
 MTheory;
 Supergravity Models;
 Superspaces;
 High Energy Physics  Theory
 EPrint:
 doi:10.1007/JHEP05(2018)128