Statistical transmutation of quantum bosonic strings coupled to general four-dimensional Chern-Simons theory

TL;DR

This paper explores how bosonic strings in 3+1D coupled with Chern-Simons theory acquire magnetic flux and topological charge, revealing generalized statistics and constructing their quantum creation operators.

Contribution

It introduces a quantum framework for bosonic strings with topological features in 3+1D Chern-Simons theory, including creation operators and dual algebra relations.

Findings

Strings acquire magnetic flux and topological charge.

Composite states exhibit generalized statistics.

Constructed quantum creation operators for these states.

Abstract

A bosonic string coupled to the generalized Chern-Simons theory in 3+1D acquires a magnetic field along itself, when it is closed, and a topological charge at its extremity, when it is open. We construct the creation operators for the full quantum field states associated to these strings and determine the dual algebra satisfied by them. We show that the creation operator fo the composite state of a quantum closed bosonic string, bearing a magnetic flux, and a topologically charged open bosonic string, possesses generalized statistics. The relation of our results with previous approaches to the problem is also established.