Action with Manifest Duality for Maximally Supersymmetric Six-dimensional Supergravity

TL;DR

This paper explicitly performs the toroidal compactification of eleven-dimensional supergravity to six dimensions, presenting its action in a manifestly invariant form using a covariant formulation for chiral fields.

Contribution

It provides the first explicit compactification of eleven-dimensional supergravity to six dimensions with a manifest symmetry using a covariant chiral field formulation.

Findings

Derived a manifestly $SO(5,5)$ invariant action in six dimensions.

Demonstrated the use of covariant formulations for chiral fields.

Enhanced understanding of supergravity compactifications.

Abstract

We perform explicitly the toroidal compactification of eleven dimensional supergravity to six dimensions and present its action in a manifestly $SO(5,5)\over SO(5)\times SO(5)$ invariant form using the recently proposed covariant formulation of theories involving chiral fields.