Gauge theory on nonassociative spaces

DOI10.1063/1.2084747zbMath1111.81101arXivmath/0506453OpenAlexW1987139462MaRDI QIDQ3438658

Shahn Majid

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0506453

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry in quantum theory (81R60) Geometry of quantum groups (58B32) Nonassociative algebras satisfying other identities (17A30)

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Cites Work

• Clifford algebras obtained by twisting of group algebras
• Quasialgebra structure of the octonions
• Electromagnetism and gauge theory on the permutation group \(S_{3}\).
• DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY
• Braided cyclic cocycles and nonassociative geometry
• On spherical harmonics for fuzzy spheres in diverse dimensions
• Higher-dimensional geometries from matrix brane constructions
• Nonassociative star product deformations for D-brane world-volumes in curved backgrounds.