Symmetric Space Sigma-model Dynamics: Internal Metric Formalism

TL;DR

This paper develops an explicit Lagrangian formulation for symmetric space sigma models using the internal metric approach, deriving exact equations for axion and dilaton fields in a solvable Lie algebra gauge.

Contribution

It provides a detailed construction of the Lagrangian and exact field equations for axions and dilatons in the internal metric formalism of symmetric space sigma models.

Findings

Explicit Lagrangian in terms of axions and dilatons

Exact axion-dilaton field equations derived

Formalism applicable to solvable Lie algebra gauges

Abstract

For the symmetric space sigma model in the internal metric formalism we explicitly construct the lagrangian in terms of the axions and the dilatons of the solvable Lie algebra gauge and then we exactly derive the axion-dilaton field equations.