NONCOMMUTATIVE INSTANTONS ON d = 2n PLANES FROM MATRIX MODELS

DOI10.1142/S0217751X03013648zbMath1022.81054arXivhep-th/0209118OpenAlexW3105144146MaRDI QIDQ4808285

P. Valtancoli

Publication date: 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0209118

zbMATH Keywords

solitonYang-Mills actionnoncommutative torusfour-dimensional noncommutative plane

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton equations (35Q51) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry (à la Connes) (58B34)

Cites Work

• Construction of instantons
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• Quantum aspects of GMS solutions of non-commutative field theory and large N limit of matrix models
• The quantum structure of spacetime of the Planck scale and quantum fields
• Non-commutative solitons
• Instantons in the U(1) Born-Infeld theory and noncommutative gauge theory.
• Exact noncommutative solitons
• Notes on noncommutative instantons
• Noncommutative instantons and twistor transform
• Noncommutative instantons: A new approach
• Introduction to M(atrix) theory and noncommutative geometry
• On the unitarity problem in space/time noncommutative theories

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