New soliton generating transformations in the bosonic sector of heterotic string effective theory

TL;DR

This paper extends the integrable structure of the bosonic sector in heterotic string theory by introducing new soliton generating transformations that include vector gauge fields, enabling richer solution generation.

Contribution

It introduces novel soliton generating transformations that incorporate vector gauge fields into the background solutions of heterotic string effective theory.

Findings

New soliton transformations with gauge fields included

Ability to generate solutions on vacuum backgrounds

Enhanced integrability structure for string theory fields

Abstract

In the author's paper (Phys.Rev. D80, 041901(R) (2009)), the integrable structure of the symmetry reduced bosonic dynamics in the low energy heterotic string effective theory was presented. In that paper, for a complete system of massless bosonic fields which includes metric, dilaton field, antisymmetric tensor and any number of Abelian vector gauge fields, considered in the space-time of $D$ dimensions with $D-2$ commuting isometries, the spectral problem equivalent to the symmetry reduced dynamical equations was constructed. However, the soliton generating transformations were described in that paper only for the case in which all vector gauge fields vanish. In this paper, we recall the integrability structure of these equations and describe some new type of soliton generating transformations in which the vector gauge fields can also enter the background (seed) solution as well as these can be generated even on vacuum background by an appropriate choice of soliton parameters.