Teleparallel Superspace in Eleven Dimensions Coupled to Supermembranes

TL;DR

This paper introduces a teleparallel superspace formulation of eleven-dimensional supergravity that lacks manifest local Lorentz covariance, facilitating studies of higher-dimensional supergravities and supermembrane backgrounds.

Contribution

It develops a novel teleparallel superspace framework for N=1 eleven-dimensional supergravity, extending its application to twelve dimensions and supermembrane backgrounds.

Findings

Formulation of teleparallel superspace without manifest local Lorentz covariance

Application to twelve-dimensional supergravity

Advantages as backgrounds for supermembrane actions

Abstract

We present a superspace formulation of N=1 eleven-dimensional supergravity with no manifest local Lorentz covariance, which we call teleparallel superspace. This formulation will be of great importance, when we deal with other supergravity theories in dimensions higher than eleven dimensions, or a possible formulation of noncommutative supergravity. As an illustrative example, we apply our teleparallel superspace formulation to the case of N=1 supergravity in twelve-dimensions. We also show the advantage of teleparallel superspace as backgrounds for supermembrane action.