3D heterotic string theory: new approach and extremal solutions

TL;DR

This paper introduces a new formalism for three-dimensional heterotic string theory, enabling the systematic generation of extremal solutions with a symmetry-invariant approach, including known solutions and new classes with a string theory limit.

Contribution

A novel formalism using a single matrix potential for heterotic string theory, facilitating symmetry-based solution generation and extremal solution construction.

Findings

Developed a new matrix potential formalism for heterotic string theory.

Constructed a broad class of extremal solutions including known and new solutions.

Established a formal analogy with Einstein-Maxwell theory for solution generation.

Abstract

We develop a new formalism for the bosonic sector of low-energy heterotic string theory toroidally compactified to three dimensions. This formalism is based on the use of some single non-quadratic real matrix potential which transforms linearly under the action of subgroup of the three-dimensional charging symmetries. We formulate a new charging symmetry invariant approach for the symmetry generation and straightforward construction of asymptotically flat solutions. Finally, using the developed approach and the established formal analogy between the heterotic and Einstein-Maxwell theories, we construct a general class of the heterotic string theory extremal solutions of the Israel-Wilson-Perjes type. This class is asymptotically flat and charging symmetry complete; it includes the extremal solutions constructed before and possesses the non-trivial bosonic string theory limit.