Quantum gauge symmetries in noncommutative geometry

DOI10.4171/JNCG/161zbMath1300.81057arXiv1112.3622MaRDI QIDQ744414

Jyotishman Bhowmick, Francesco D'Andrea, Biswarup Das, Ludwik Dąbrowski

Publication date: 25 September 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3622

zbMATH Keywords

quantum groupgauge theoryspectral triple

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60)

Related Items

Unitary easy quantum groups: geometric aspects ⋮ Quantum isometries and group dual subgroups ⋮ Categories of two-colored pair partitions. Part II: Categories indexed by semigroups ⋮ Liberations and twists of real and complex spheres ⋮ Categories of two-colored pair partitions. I: Categories indexed by cyclic groups ⋮ The standard model in noncommutative geometry and Morita equivalence ⋮ Hopf coactions on odd spheres

Cites Work

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• Invariants of the half-liberated orthogonal group
• Stochastic aspects of easy quantum groups
• Quantum isometries of the finite noncommutative geometry of the standard model
• Quantum group of orientation-preserving Riemannian isometries
• Quantum automorphism groups of small metric spaces.
• The free compact quantum group \(U(n)\)
• Quantum automorphism groups of homogeneous graphs
• COMBINATORIAL ASPECTS OF ORTHOGONAL GROUP INTEGRALS
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• Quantum automorphism groups of finite graphs

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