Dualisation of the General Scalar Coset in Supergravity Theories

TL;DR

This paper develops a dualised formulation for scalar cosets in supergravity, deriving first-order equations via twisted self-duality and applying these to the SL(2,R)/SO(2) scalar manifold in IIB supergravity.

Contribution

It introduces a general dualisation approach for scalar cosets G/K in supergravity, extending the symmetric space sigma model framework.

Findings

Derived first-order equations for the dualised scalar coset model.

Applied the formalism to the SL(2,R)/SO(2) scalar manifold in IIB supergravity.

Demonstrated the utility of the dualised formulation in supergravity contexts.

Abstract

The dualised formulation of the symmetric space sigma model is peformed for a general scalar coset G/K where G is a maximally non-compact group and K is it's maximal compact subgroup.By using the twisted self-duality condition the general form of the first-order equations are obtained.The results are applied to the example of SL(2,R)/SO(2) scalar manifold of the IIB supergravity.