Noncommutative instantons on \(R^2_{\text{NC}}\times R^2_C\)

DOI10.1016/S0370-2693(01)01354-5zbMath0982.81053arXivhep-th/0109121OpenAlexW1632651554MaRDI QIDQ5950427

Keun-Young Kim, Hyun Seok Yang, Bum-Hoon Lee

Publication date: 11 December 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0109121

zbMATH Keywords

self-dual gauge fieldADHM constructionanti-self-dual gauge fieldgauge invariant quantitiesphysically regular solutions

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75)

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Some noncommutative multi-instantons from vortices in curved space, NONCOMMUTATIVE INSTANTONS AND THE INFORMATION METRIC, Calculation of the pontrjagin class for \(U(1)\) instantons on non-commutative \(\mathcal R^{4}\), TOPOLOGICAL CHARGE OF ADHM INSTANTON ON ${\bf R}^2_{\rm NC}\times{\bf R}^2$, Noncommutative vortices and instantons from generalized Bose operators, An efficient representation of Euclidean gravity. I, Noncommutative electromagnetism as a large \(N\) gauge theory

Cites Work

• Instantons and geometric invariant theory
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Instantons and affine Lie algebras
• Comments on the \(U(2)\) noncommutative instanton
• Noncommutative instantons and twistor transform
• Noncommutative instantons: A new approach