Dualisation of the D=9 Matter Coupled Supergravity

TL;DR

This paper develops a dual formulation of nine-dimensional matter-coupled supergravity, deriving a Lie superalgebra and expressing field equations as a twisted self-duality condition, advancing the understanding of supergravity symmetries.

Contribution

It introduces a novel dualisation approach for D=9 supergravity, deriving the associated Lie superalgebra and formulating the field equations as a twisted self-duality condition.

Findings

Derived the Lie superalgebra for D=9 supergravity

Presented the first-order twisted self-duality formulation

Connected the coset construction with field equations

Abstract

We perform the bosonic dualisation of the matter coupled N=1, D=9 supergravity. We derive the Lie superalgebra which parameterizes the coset map whose Cartan form realizes the second-order bosonic field equations. Following the non-linear coset construction we present the first-order formulation of the bosonic field equations as a twisted self-duality condition.