High Energy Physics - Theory
[Submitted on 28 Feb 2018 (v1), last revised 22 Mar 2018 (this version, v2)]
Title:N=1 Supercurrents of Eleven-dimensional Supergravity
View PDFAbstract:Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ 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 $\mathbf X \times Y$ that is chiral as a superfield on $\mathbf X$. 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 $\mathbf X\times Y$. These terms are those of lowest order in a superspace Noether expansion in seven $N=1$ conformal gravitino superfields $\Psi$. In this paper, we compute the $O(\Psi)$ 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-Poincare algebra.
Submission history
From: William Divine Linch III [view email][v1] Wed, 28 Feb 2018 19:39:31 UTC (31 KB)
[v2] Thu, 22 Mar 2018 17:59:23 UTC (31 KB)
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