Finite Energy Solutions in Three-Dimensional Heterotic String Theory

TL;DR

This paper demonstrates that many supersymmetric solutions in three-dimensional heterotic string theory can have finite energy, linking them to M-brane configurations and extending understanding of string compactifications.

Contribution

It introduces a mechanism for achieving finite energy in supersymmetric solutions of heterotic string theory compactified on a seven-torus, connecting to M-brane configurations.

Findings

Many supersymmetric solutions have finite energy

The solutions relate to intersecting M-branes, M-waves, and M-monopoles

The energy finiteness mechanism is similar to 4D stringy cosmic strings

Abstract

We show that a large class of supersymmetric solutions to the low-energy effective field theory of heterotic string theory compactified on a seven torus can have finite energy, which we compute. The mechanism by which these solutions are turned into finite energy solutions is similar to the one occurring in the context of four-dimensional stringy cosmic string solutions. We also describe the solutions in terms of intersecting eleven-dimensional M-branes, M-waves and M-monopoles.