Noncommuting coordinates and magnetic monopoles

DOI10.1007/JHEP01(2010)008zbMath1269.81069arXiv0910.4356OpenAlexW2158782574MaRDI QIDQ359245

Seán Murray, Jan Govaerts

Publication date: 9 August 2013

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4356

zbMATH Keywords

non-commutative geometrysolitons monopoles and instantons

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Noncommutative geometry in quantum theory (81R60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Soliton solutions (35C08)

Related Items (1)

Connes distance function on fuzzy sphere and the connection between geometry and statistics

Cites Work

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• General concept of quantization
• The construction of noncommutative manifolds using coherent states
• String theory and noncommutative geometry
• Dielectric-branes
• The Dirac operator on the fuzzy sphere
• Topologically nontrivial field configurations in noncommutative geometry
• Charge quantization and nonintegrable Lie algebras
• The origin of chiral anomaly and the noncommutative geometry
• The fuzzy sphere
• Charge Quantization Conditions Based on the Atiyah-Singer Index Theorem
• ``Peierls substitution and Chern-Simons quantum mechanics

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