E8 duality and dual gravity

TL;DR

This paper explores the E8 duality symmetry in the context of eleven-dimensional supergravity, introducing a new potential field identified as dual gravity through dimensional reduction.

Contribution

It constructs the non-linear realisation of the E8 motion group and links a new potential field to dual gravity in a novel way.

Findings

Identifies a new potential field as dual gravity.

Connects E8 symmetry with eleven-dimensional supergravity.

Provides a framework for understanding dual gravity via E8 symmetry.

Abstract

We construct the non-linear realisation of the E8 motion group and compare this with the bosonic sector of eleven dimensional supergravity. The construction naturally leads to the introduction of a new potential field. We identify this new field with the dual gravity field by considering the reduction of the eleven-dimensional theory to three dimensions.