Locations of JNR skyrmions

2025/04/30 by Cork, Josh, Disney-Hogg, Linden
#26C10 #35C08 Primary #57R70 Secondary #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2505.00075

Abstract

We develop and prove new geometric and algebraic characterisations for locations of constituent skyrmions, as well as their signed multiplicity, using Sutcliffe's JNR ansatz. Some low charge examples, and their similarity to BPS monopoles, are discussed. In addition, we provide Julia code for the further numerical study and visualisation of JNR skyrmions.

Citations

• Higher dimensional Lemniscates: the geometry of r particles in n-space with logarithmic potentials
• Folding in the Skyrme Model
• Skyrmions, Fullerenes and Rational Maps
• Rational Maps, Monopoles and Skyrmions
• Quantising the B=2 and B=3 Skyrmion systems
• Monopole Zeros
• Monopole Scattering with a Twist
• Construction of instantons
• A unified field theory of mesons and baryons

Related

• Understanding Skyrmions using Rational Maps
• Solving Skyrmions
• Skyrmions in Orientifold and Adjoint QCD
• Light Nuclei as Quantized Skyrmions: Energy Spectra and Form Factors
• Topological approach of characterizing optical Skyrmions and Skyrmion lattices