VORTICES AS INSTANTONS IN NONCOMMUTATIVE DISCRETE SPACE: USE OF Z2 COORDINATES

DOI10.1142/S0217732310033505zbMath1193.81109arXiv0904.1848MaRDI QIDQ3583270

Toshiro Sato, Hideharu Otsu, Hitoshi Ikemori, Shinsaku Kitakado

Publication date: 26 August 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1848

zbMATH Keywords

noncommutative geometryinstantonsvortices

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton equations (35Q51) Noncommutative geometry methods in quantum field theory (81T75) Methods of noncommutative geometry in general relativity (83C65) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (1)

Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices

Cites Work

• Integrability of vortex equations on Riemann surfaces
• Non-Abelian vortices on Riemann surfaces: An integrable case
• Construction of instantons
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Volume of vortex moduli spaces
• Connes' noncommutative differential geometry and the standard model
• Instanton moduli and topological soliton dynamics
• Moduli Space of Non-Abelian Vortices
• The canonical symmetry for integrable systems
• NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
• The moduli space of noncommutative vortices
• Solitons in the Higgs phase: the moduli matrix approach

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