The quantum geometry of spin and statistics

DOI10.1016/S0393-0440(01)00016-XzbMath1079.81037arXivhep-th/0008072WikidataQ62100785 ScholiaQ62100785MaRDI QIDQ5947298

Robert Oeckl

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0008072

zbMATH Keywords

Quantum groupsQuantum field theoryStatisticsAnyonsQuonsSpin

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Feynman diagrams (81T18) Path integrals in quantum mechanics (81S40) Geometry of quantum groups (58B32) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

The quantum geometry of supersymmetry and the generalized group extension problem

Cites Work

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• Ribbon graphs and their invariants derived from quantum groups
• Superselection sectors with braid group statistics and exchange algebras
• On unitary ray representations of continuous groups
• BRAID STATISTICS IN LOCAL QUANTUM THEORY
• Free braided differential calculus, braided binomial theorem, and the braided exponential map
• Algebraic q-integration and Fourier theory on quantum and braided spaces
• Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories
• Braided quantum field theory

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