Quantum gravity and Riemannian geometry on the fuzzy sphere

DOI10.1007/s11005-021-01359-4zbMath1465.83013arXiv2004.14363OpenAlexW3133516572WikidataQ115381860 ScholiaQ115381860MaRDI QIDQ829988

Evelyn Lira-Torres, Shahn Majid

Publication date: 7 May 2021

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

Full work available at URL: https://arxiv.org/abs/2004.14363

zbMATH Keywords

noncommutative geometryquantum gravityquantum geometryfuzzy sphereangular momentum algebracoadjoint quantisationfuzzy monopole

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Theory of fuzzy sets, etc. (03E72) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Noncommutative geometry methods in quantum field theory (81T75) Methods of noncommutative geometry in general relativity (83C65)

Related Items (8)

Geometric Dirac operator on the fuzzy sphere ⋮ Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\) ⋮ Quantum Riemannian geometry of the discrete interval and q-deformation ⋮ Quantum geodesic flows and curvature ⋮ Quantum geodesics in quantum mechanics ⋮ Fuzzy and discrete black hole models* ⋮ Riemannian geometry of a discretized circle and torus ⋮ Quantum geodesics on quantum Minkowski spacetime

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