Closed non-abelian strings

TL;DR

This paper proposes a non-abelian gerbe framework with surface holonomies that can only parallel transport closed strings, aiming to describe aspects of the $(2,0)$ theory.

Contribution

It introduces a novel non-abelian gerbe structure with surface holonomies tailored for closed string transport, advancing the mathematical tools for $(2,0)$ theory.

Findings

Defines a non-abelian gerbe with closed string surface holonomies

Provides a mathematical framework for $(2,0)$ theory

Suggests potential applications in string theory and higher gauge theories

Abstract

With the aim of finding a framework for describing $(2,0)$ theory, we propose a non-abelian gerbe with surface holonomies that can parallel transport closed strings only.