On Bogomolny equations in generalized gauged baby BPS Skyrme models

TL;DR

This paper derives Bogomolny equations and BPS bounds for modified gauged baby BPS Skyrme models using the strong necessary conditions method, highlighting how these modifications influence the equations and potential.

Contribution

It introduces a novel application of the CSNC method to derive Bogomolny equations in nonminimal and k-deformed gauged baby BPS Skyrme models.

Findings

CSNC effectively derives Bogomolny equations for the models.

Modifications affect the form of the Bogomolny equations and potential.

The method provides insights into the structure of the models.

Abstract

Using the concept of strong necessary conditions (CSNC), we derive Bogomolny equations and BPS bounds for two modifications of the gauged baby BPS Skyrme model: the nonminimal coupling to the gauge field and k-deformed model. In particular, we study, how the Bogomolny equations and the equation for the potential, reflect these two modifications. In both examples, the CSNC method shows to be a very useful tool.