On the energy crisis in noncommutative \(CP(1)\) model

DOI10.1016/j.nuclphysb.2010.03.005zbMath1204.81118arXiv1001.5064OpenAlexW1955707229MaRDI QIDQ622738

Lucas Sourrouille

Publication date: 3 February 2011

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

Full work available at URL: https://arxiv.org/abs/1001.5064

zbMATH Keywords

Seiberg-Witten mapnoncommutative field theory\(CP(1)\) nonlinear sigma model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Noncommutative geometry methods in quantum field theory (81T75) Applications of global analysis to structures on manifolds (57R57) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80)

Cites Work

• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Energy crisis or a new soliton in the noncommutative CP(1) model?
• The \(\mathbb{C}\mathbb{P}(n)\) model on noncommutative plane
• Non-commutative solitons
• Chern-Simons action in noncommutative space

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