Supersymmetric Solutions in Three-Dimensional Heterotic String Theory

TL;DR

This paper constructs various supersymmetric solutions in three-dimensional heterotic string theory, revealing their unique geometric properties and supersymmetry preservation levels, advancing understanding of low-dimensional string solutions.

Contribution

It introduces new supersymmetric solutions in 3D heterotic string theory with detailed analysis of their supersymmetry and geometric features.

Findings

Solutions preserve 1/2, 1/4, and 1/8 of N=8 supersymmetry

Solutions do not have conical singularities

Existence of Killing spinors due to holonomy cancellation

Abstract

We consider the low-energy effective field theory of heterotic string theory compactified on a seven-torus, and we construct electrically charged as well as more general solitonic solutions. These solutions preserve 1/2, 1/4 and 1/8 of N=8, D=3 supersymmetry and have Killing spinors which exist due to cancellation of holonomies. The associated space-time line elements do not exhibit the conical structure that often arises in 2+1 dimensional gravity theories.