Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound

DOI10.1016/j.nuclphysb.2013.07.006zbMath1282.81127arXiv1305.4784OpenAlexW2027778446MaRDI QIDQ2438247

Yisong Yang, Eugen Radu, D. H. Tchrakian

Publication date: 10 March 2014

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4784

zbMATH Keywords

sigma modelsChern-Simons densitySkyrme-Faddeev modelVakulenko-Kapitansky case

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Eta-invariants, Chern-Simons invariants (58J28)

Related Items

\(\mathrm{SU}(3)\) knot solitons: Hopfions in the \(F_{2}\) Skyrme-Faddeev-Niemi model, Fractional skyrmion molecules in a \(\mathbb{C}P^{N- 1}\) model

Cites Work

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• Static knot energy, Hopf charge, and universal growth law
• Existence of energy minimizers as stable knotted solitons in the Faddeev model
• Software considerations for the “black box” solver FIDISOL for partial differential equations
• Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory
• Topological Solitons
• Universal growth law for knot energy of Faddeev type in general dimensions