Calculation of the pontrjagin class for \(U(1)\) instantons on non-commutative \(\mathcal R^{4}\)

DOI10.1088/1126-6708/2002/08/028zbMath1226.81096arXivhep-th/0201196OpenAlexW3125777889MaRDI QIDQ648877

Shin-Ichiro Kuroki, Akifumi Sako, Tomomi Ishikawa

Publication date: 29 November 2011

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

Full work available at URL: https://arxiv.org/abs/hep-th/0201196

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Exact construction of noncommutative instantons ⋮ Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction ⋮ Partition functions of supersymmetric gauge theories in noncommutative R2D and their unified perspective

Cites Work

• Construction of instantons
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• D-branes and the noncommutative torus
• String theory and noncommutative geometry
• Noncommutative field theory
• Comments on the \(U(2)\) noncommutative instanton
• Noncommutative instantons on \(R^2_{\text{NC}}\times R^2_C\)
• Notes on noncommutative instantons

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