Strings with extended non-Abelian gauge interaction

TL;DR

This paper introduces a novel non-Abelian gauge interaction framework for bosonic strings, utilizing quasiequivariant maps and 2-gauge models to construct a branched non-Abelian space-time.

Contribution

It develops a new generalization of gauge interactions for strings, incorporating 2-connections and non-Abelian background fields to model complex space-time structures.

Findings

Formulation of a 2-gauge string model with two 1-connections.

Construction of a branched non-Abelian space-time.

Extension of gauge interactions to string theory context.

Abstract

The new generalization of the gauge interaction for the bosonic strings is found. We consider some quasiequivariant maps from the space of metrics on the worldsheet to the space of $n$-tuples of one- and two-dimensional loops. The two-dimensional case is based on the cylinders interacted with a path space connection. The special 2-gauge string model is formulated using two 1-connections, non-Abelian background symmetric tensor field and non-Abelian 2-form. The branched non-Abelian space-time is the result of our construction.