Heterotic String in a Constant Magnetic Field

TL;DR

This paper analyzes the behavior of a charged heterotic string in a constant magnetic field, providing exact solutions, anomaly calculations, and spectrum algebra, revealing a special case where the system simplifies to a free one.

Contribution

It introduces an exact solution for heterotic strings in magnetic fields and explores the resulting algebraic structures, highlighting the role of the cyclotron frequency.

Findings

System solvable exactly using cyclotron frequency

Anomalies of super Virasoro algebra calculated

System equivalent to free when magnetic field is integral

Abstract

When a charged heterotic string is placed in a constant magnetic field B, we show that this system can be solved exactly by using the cyclotron frequency. We then calculate anomalies of the super Virasoro algebra, and give the corresponding spectrum-generating algebra for this system. They differ from the free case by the cyclotron frequency. It is remarkable that our system is equivalent to the completely free system when B takes integral values.