Symmetric space sigma-model dynamics: Current formalism

TL;DR

This paper develops a new formalism for symmetric space sigma-models by explicitly constructing the Lagrangian in terms of coset scalars and deriving the associated field equations.

Contribution

It introduces a current formalism for symmetric space sigma-models, providing explicit Lagrangian construction and field equations derivation.

Findings

Explicit Lagrangian in terms of coset scalars

Derived field equations for the model

Formalism simplifies analysis of symmetric space sigma-models

Abstract

After explicitly constructing the symmetric space sigma model lagrangian in terms of the coset scalars of the solvable Lie algebra gauge in the current formalism we derive the field equations of the theory.