Discrete and Continuous Bogomolny Equations through the Deformed Algebra

TL;DR

This paper establishes a connection between discrete and continuous Bogomolny equations using a one-parameter deformed algebra, bridging matrix models and higher-dimensional models.

Contribution

It introduces a deformed algebra that links discrete and continuous Bogomolny equations, revealing a new algebraic structure underlying these models.

Findings

The deformed algebra relates discrete and continuous equations.

The algebra acts as a bridge between matrix models and higher-dimensional models.

The approach highlights the role of algebraic deformation in gauge theory equations.

Abstract

We connect the discrete and continuous Bogomolny equations. There exists one-parameter algebra relating two equations which is the deformation of the extended conformal algebra. This shows that the deformed algebra plays the role of the link between the matrix valued model and the model with one more space dimension higher.