Closed Superstrings in a Uniform Magnetic Field and Regularization Criterion

TL;DR

This paper explores exact solutions of closed superstrings in a uniform magnetic field, applying a regularization criterion to determine viable models and constructing their spectrum-generating algebra.

Contribution

It introduces a regularization criterion to evaluate superstring models in magnetic fields and constructs the spectrum-generating algebra for the consistent models.

Findings

Some models are excluded based on the regularization criterion

Spectrum-generating algebra is constructed for the remaining models

Provides a framework for analyzing superstrings in magnetic backgrounds

Abstract

We summarize exact solutions of closed superstrings in a constant magnetic field, from a view point of the regularization criterion. Some models will be excluded according to this criterion. The spectrum-generating algebra is also constructed in these interacting models.