Dualisation of the symmetric space sigma model with couplings

Abstract

The first-order formulation of the G / K symmetric space sigma model of the scalar cosets of the supergravity theories is discussed when there is coupling of ( m − 1 )-form matter fields. The Lie superalgebra which enables the dualized coset formulation is constructed for a general scalar coset G / K with matter coupling where G is a non-compact real form of a semi-simple Lie group and K is its maximal compact subgroup.