Charging Symmetries and Linearizing Potentials for Heterotic String in Three Dimensions

TL;DR

This paper develops a comprehensive symmetry framework for heterotic string theory in three dimensions, enabling linearization of potentials and systematic generation of solutions while preserving asymptotic properties.

Contribution

It constructs all finite symmetry transformations that preserve asymptotics and formulates a general solution generation method using these symmetries in heterotic string theory.

Findings

All finite symmetry transformations are explicitly constructed.

A matrix potential transforms linearly under symmetry actions.

The symmetry group preserves the Israel-Wilson-Perj'es class of solutions.

Abstract

Using the Ernst potential formulation we construct all it finite symmetry transformations which preserve asymptotics of the bosonic fields of the (d+3)--dimensional low--energy heterotic string theory compactified on a d--torus. We combine all the dynamical variables into a single (d+1)X(d+1+n)--dimensional matrix potential which linearly transforms under the action of these symmetry transformations in a transparent SO(2,d-1) X SO(2,d-1+n) way, where n is the number of Abelian vector fields. We formulate the most general solution generation technique based on the use of these symmetries and show that they form an invariance group of the general Israel--Wilson--Perj'es class of solutions.