String theory extensions of Einstein-Maxwell fields: the stationary case

TL;DR

This paper introduces a new method for generating solutions in heterotic string theory compactified to three dimensions, extending Einstein-Maxwell solutions to string theory with invariance under charging symmetries.

Contribution

It presents a solution-generating procedure for heterotic string theory based on Einstein solutions, expanding the class of obtainable solutions and analyzing their physical properties.

Findings

Solution-generating method for heterotic string theory solutions.

Extension of Einstein--multi-Maxwell solutions to string theory.

Conditions for multi-dimensional metrics to be free of Dirac strings.

Abstract

We present a new approach for generating solutions in heterotic string theory compactified down to three dimensions on a torus with d+n>2, where d and n stand for the number of compactified space--time dimensions and Abelian gauge fields, respectively. It is shown that in the case when d=2k+1 and n is arbitrary, one can apply a solution--generating procedure starting from solutions of the stationary Einstein theory with k Maxwell fields; our approach leads to classes of solutions which are invariant with respect to the total group of three-dimensional charging symmetries. We consider a particular extension of the stationary Einstein--multi-Maxwell theory obtained on the basis of the Kerr--multi-Newman--NUT special class of solutions and establish the conditions under which the resulting multi--dimensional metric is free of Dirac string peculiarities.