N = 1 supercurrents of eleven-dimensional supergravity

Author:

Becker Katrin,Becker Melanie,Butter Daniel,Linch William D.

Abstract

Abstract Eleven-dimensional 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 7-manifold admitting a G 2-structure. The eleven-dimensional 3-form and the stable 3-form 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 Chern-Simons 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 eleven-dimensional origin of the resulting non-linear structures is parameterized by the choice of a complex spinor on Y encoding the off-shell 4D N = 1 subalgebra of the eleven-dimensional super-Poincaré algebra.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Linearized off-shell 4+7 supergeometry of 11D supergravity;Journal of High Energy Physics;2022-11-21

2. Maximally Twisted Eleven-Dimensional Supergravity;Communications in Mathematical Physics;2022-11-14

3. Components of eleven-dimensional supergravity with four off-shell supersymmetries;Journal of High Energy Physics;2021-07

4. Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces;Journal of High Energy Physics;2021-03

5. 4D $$ \mathcal{N} $$ = 1 Kaluza-Klein superspace;Journal of High Energy Physics;2020-09

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