The Inverse Scattering Method, Lie-Backlund Transformations and Solitons for Low-energy Effective Field Equations of 5D String Theory

摘要

In the framework of the 5D low-energy effective field theory of the heteroticstring with no vector fields excited, we combine two non-linear methods inorder to construct a solitonic field configuration. We first apply the inversescattering method on a trivial vacuum solution and obtain an stationaryaxisymmetric two-soliton configuration consisting of a massless gravitationalfield coupled to a non-trivial chargeless dilaton and to an axion field endowedwith charge. The implementation of this method was done following a schemepreviously proposed by Yurova. We also show that within this scheme, is notpossible to get massive gravitational solitons at all. We then apply anon-linear Lie-Backlund matrix transformation of Ehlers type on this masslesssolution and get a massive rotating axisymmetric gravitational soliton coupledto axion and dilaton fields endowed with charges. We study as well somephysical properties of the constructed massless and massive solitons anddiscuss on the effect of the generalized solution generating technique on theseed solution and its further generalizations.