IWP Solutions for Heterotic String in Five Dimensions

TL;DR

This paper derives extremal stationary solutions in heterotic string theory with multiple U(1) fields, generalizing known classes, and expresses solutions via matrix harmonic functions, highlighting BPS charge saturation.

Contribution

It introduces a new class of extremal solutions in heterotic string theory with multiple gauge fields, using matrix Ernst potentials and harmonic functions.

Findings

Solutions generalize Israel-Wilson-Perjes class

Charges saturate BPS bound

Expressed in terms of matrix harmonic functions

Abstract

We obtain extremal stationary solutions that generalize the Israel-Wilson-Perj\'es class for the low-energy limit of heterotic string theory with n>=3 U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real 3X3-matrix harmonic function. By studying the asymptotic behaviour of the field configurations we define the physical charges of the field system. The extremality condition makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound.