Solitons via Lie-B\"acklund Transformation for 5D Low-energy String Theory

TL;DR

This paper applies a non-linear Lie-Bäcklund transformation to generate new solitonic solutions in 5D string theory, transforming a massless seed into a massive, charged, rotating soliton with clarified physical properties.

Contribution

It introduces a novel application of non-linear matrix transformations to generate and analyze charged, rotating solitons in 5D low-energy string theory, extending previous inverse scattering solutions.

Findings

Generated a massive, charged, rotating soliton from a massless seed.

The transformation imparts mass and charge, altering the soliton's properties.

The new solution lacks some bizarre features of the original seed.

Abstract

We apply a non-linear matrix transformation of Lie-Backlund type on a seed soliton configuration in order to obtain a new solitonic solution in the framework of the 5D low-energy effective field theory of the bosonic string. The seed solution represents a stationary axisymmetric two-soliton configuration previously constructed through the inverse scattering method and consists of a massless gravitational field coupled to a non-trivial chargeless dilaton and to an axion field endowed with charge. We apply a fully parameterized non-linear matrix transformation of Ehlers type on this massless solution and get a massive rotating axisymmetric gravitational soliton coupled to charged axion and dilaton fields. We discuss on some physical properties of both the initial and the generated solitons and fully clarify the physical effect of the non-linear normalized Ehlers transformation on the seed solution, in particular, the generated field configuration acquires mass and charge terms, and does not possess some of the bizarre properties that the initial ISM solitonic solution does.