Generalized E(7(7)) coset dynamics and D=11 supergravity

TL;DR

This paper constructs a 56-dimensional exceptional geometry with manifest E(7(7)) symmetry, deriving a Lagrangian and supersymmetry variations that reproduce D=11 supergravity upon truncation, offering a new perspective on supergravity symmetries.

Contribution

It introduces a 56-dimensional framework with off-shell E(7(7)) symmetry, connecting exceptional geometry to D=11 supergravity in a novel way.

Findings

Constructed a 56-dimensional Lagrangian with E(7(7)) symmetry.

Demonstrated the equivalence to D=11 supergravity upon truncation.

Provided supersymmetry variations consistent with the theory.

Abstract

The hidden on-shell E(7(7)) symmetry of maximal supergravity is usually discussed in a truncation from D=11 to four dimensions. In this article, we reverse the logic and start from a theory with manifest off-shell E(7(7)) symmetry inspired by West's coset construction. Following de Wit's and Nicolai's idea that a 4+56 dimensional "exceptional geometry" underlies maximal supergravity, we construct the corresponding Lagrangian and the supersymmetry variations for the 56 dimensional subsector. We prove that both the dynamics and the supersymmetry coincide with D=11 supergravity in a truncation to d=7 in the expected way.