Recent developments in instantons in noncommutative \(\mathbb R^4\)

DOI10.1155/2010/270694zbMath1201.81103OpenAlexW2114145486WikidataQ58650041 ScholiaQ58650041MaRDI QIDQ606119

Akifumi Sako

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224449

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Green's functions for elliptic equations (35J08)

Related Items (5)

Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations ⋮ Gauge theories in noncommutative homogeneous Kähler manifolds ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Noncommutative vortices and instantons from generalized Bose operators ⋮ Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction

Cites Work

• Are vortex numbers preserved?
• Noncommutative deformation of instantons
• Construction of instantons
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Noncommutative instantons revisited
• Some noncommutative multi-instantons from vortices in curved space
• Instantons on General Noncommutative R ⁴
• Noncommutative Integrable Systems and Quasideterminants
• On noncommutative merons and instantons
• Noncommutative cohomological field theory and GMS soliton
• NONCOMMUTATIVE INSTANTONS AND THE INFORMATION METRIC
• Topological Charge of Noncommutative ADHM Instanton
• Exact noncommutative solitons
• Equivalence of projections as gauge equivalence on noncommutative space
• Comments on the \(U(2)\) noncommutative instanton
• Scattering of noncommutative solitons in \(2+1\) dimensions
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