Dualisation of the Symmetric Space Sigma Model with Couplings
Tekin Dereli, Nejat T. Yilmaz
TL;DR
This paper develops a dualized first-order formulation of the symmetric space sigma model in supergravity, incorporating matter couplings and constructing the relevant Lie superalgebra for general scalar cosets.
Contribution
It introduces a new dualized coset formulation for the sigma model with matter couplings, including the construction of the associated Lie superalgebra for general scalar cosets.
Findings
Constructed Lie superalgebra for dualized coset formulation.
Extended the first-order sigma model to include matter couplings.
Provided a general framework applicable to various supergravity theories.
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.
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