Matrix Ernst Potentials and Orthogonal Symmetry for Heterotic String in Three Dimensions

TL;DR

This paper introduces a new matrix representation for the low-energy heterotic string theory in three dimensions, deriving Ernst potentials and analyzing symmetry group actions to enhance understanding of the theory's structure.

Contribution

It presents a novel matrix formulation and Ernst potentials for heterotic string theory reduced to three dimensions, clarifying symmetry actions and coset structures.

Findings

Derived a unique pair of matrix Ernst potentials.

Established the symmetry group's action on these potentials.

Connected the Ernst potentials with the coset matrix.

Abstract

A new matrix representation for low-energy limit of heterotic string theory reduced to three dimensions is considered. The pair of matrix Ernst Potentials uniquely connected with the coset matrix is derived. The action of the symmetry group on the Ernst potentials is established.