Closed Superstrings in a Constant Magnetic Field and Regularization Criterion

TL;DR

This paper introduces a novel interaction model for closed superstrings in a constant magnetic field, providing exact solutions, a regularization criterion, and constructing the spectrum-generating algebra, expanding understanding of string-field interactions.

Contribution

It presents a new interaction mechanism for closed superstrings with a magnetic field, distinct from traditional models, and develops the associated algebraic structure and regularization criteria.

Findings

Exact solutions for the magnetic field interaction model

A regularization criterion to exclude certain models

Construction of the spectrum-generating algebra

Abstract

We propose a new type of interaction of closed superstrings with the electromagnetic field, other than the usual Kaluza-Klein type or a gauge field with internal gauge group origin. This model with a constant magnetic field is also shown to have an exact solution. We consider a regularization criterion. Some models will be excluded according to this criterion. The spectrum-generating algebra is also constructed in our interacting model.