Topological discretization of bosonic strings

TL;DR

This paper applies topological quantization to bosonic strings on flat backgrounds, deriving a topological spectrum that discretizes the system's total energy through characteristic classes of associated fiber bundles.

Contribution

It introduces a novel application of topological quantization to bosonic strings, explicitly constructing the principal fiber bundle and deriving the topological spectrum for specific configurations.

Findings

Topological spectrum leads to energy discretization.

Explicit formulas for the spectrum on Minkowski background.

Demonstrates topological quantization's role in string theory.

Abstract

We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.