Fuzzy sphere bimodule, ABS construction to the exact soliton solutions

TL;DR

This paper extends the ABS construction to fuzzy sphere bimodules, enabling the derivation of exact soliton solutions and exploring their applications in various physical systems.

Contribution

It introduces a fuzzy sphere bimodule framework and generalizes the ABS construction to this setting, providing new tools for soliton solutions in noncommutative geometry.

Findings

Established fuzzy sphere bimodule structure

Generalized ABS construction to fuzzy spheres

Applied to physical systems for soliton solutions

Abstract

In this paper, we set up the bi-module of the algebra ${\cal A}$ on fuzzy sphere. Based on the differential operators in moving frame, we generalize the ABS construction into fuzzy sphere case. The applications of ABS construction are investigated in various physical systems.