Electromagnetism and gauge theory on the permutation group \(S_{3}\).

DOI10.1016/S0393-0440(02)00052-9zbMath1041.81068arXivhep-th/0012123MaRDI QIDQ1864917

Shahn Majid, E. Raineri

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0012123

zbMATH Keywords

noncommutative geometryRicci curvatureHopf algebranoncommutative exterior algebranoncommutative Riemannian structure

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry in quantum theory (81R60)

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Hodge star as braided Fourier transform, Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces, Noncommutative Riemannian geometry on graphs, Moduli of quantum Riemannian geometries on ⩽4 points, Finite group discretization of Yang-Mills and Einstein actions, Cartan calculus for quantum differentials on bicrossproducts, PBW deformations of a Fomin-Kirillov algebra and other examples, Gauge theory on nonassociative spaces, Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\), \(\mathbb Z_2 \times \mathbb Z_2\) lattice as a Connes-Lott-quantum group model

Cites Work

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