Eleven-Dimensional Supergravity in Light-Cone Superspace

TL;DR

This paper presents a formulation of eleven-dimensional supergravity using a light-cone superspace superfield, extending techniques from lower-dimensional theories, and constructs its algebra and interaction terms.

Contribution

It introduces a superfield approach to eleven-dimensional supergravity in light-cone superspace without auxiliary fields, extending lower-dimensional methods.

Findings

Supergravity in 11D can be described by a constrained superfield in light-cone superspace.

Constructed the super-Poincaré algebra in eleven dimensions.

Proposed a fourth-order interaction term for the theory.

Abstract

We show that Supergravity in eleven dimensions can be described in terms of a constrained superfield on the light-cone, without the use of auxiliary fields. We build its action to first order in the gravitational coupling constant \kappa, by "oxidizing" (N=8,d=4) Supergravity. This is simply achieved, as for N=4 Yang-Mills, by extending the transverse derivatives into superspace. The eleven-dimensional SuperPoincare algebra is constructed and a fourth order interaction is conjectured.