English

On Bogomolny equations in generalized gauged baby BPS Skyrme models

High Energy Physics - Theory 2016-12-16 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1612.04812,
  title  = {On Bogomolny equations in generalized gauged baby BPS Skyrme models},
  author = {L. T. Stepien},
  journal= {arXiv preprint arXiv:1612.04812},
  year   = {2016}
}