On Bogomolny equations in generalized gauged baby BPS Skyrme models

2016/12/14 by Łukasz T. Stȩpień, Stepien, L. T.
Physics and Astronomy · #35F20 #35Q51 #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1612.04812

openalex publication_date 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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