Strings as Flux Tube and Deconfinement on Branes in Gauge Theories

TL;DR

This paper models gauge theories where unstable branes and fundamental strings are classical solutions, illustrating confinement and flux tube formation, and connecting these to string theory and matrix models.

Contribution

It introduces a new gauge theory framework where branes and strings are classical solutions, linking confinement phenomena to flux tubes and matrix models.

Findings

Confined flux tubes act as sources of bulk B-fields.

Unstable branes are represented by domain wall configurations.

Fundamental strings can be realized as classical solutions in matrix models.

Abstract

We propose gauge theories in which the unstable branes and the fundamental string are realized as classical solutions. While the former are represented by domain wall like configurations of a scalar field coupled to the gauge field, the latter is by a confined flux tube in the bulk. It is shown that the confined flux tube is really a source of the bulk B-field. Our model also provides a natural scenario of the confinement on the brane in the context of the open string tachyon condensation. It is also argued that the fundamental string can be realized as a classical solution in a certain IIB matrix model as in our model.