Geometric Dirac operator on the fuzzy sphere
From MaRDI portal
Publication:2667939
DOI10.1007/s11005-021-01499-7OpenAlexW4206931193MaRDI QIDQ2667939
Shahn Majid, Evelyn Lira-Torres
Publication date: 2 March 2022
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13212
noncommutative geometryquantum geometryspectral triplefuzzy sphereangular momentum algebracoadjoint quantisationfuzzy monopole
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)
Related Items (5)
Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\) ⋮ Quantum geodesic flows and curvature ⋮ Dirac gauge theory for topological spinors in 3+1 dimensional networks ⋮ Quantum geodesics in quantum mechanics ⋮ From noncommutative geometry to random matrix theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)]
- Gravity coupled with matter and the foundation of non-commutative geometry
- Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization
- Quantum gravity and Riemannian geometry on the fuzzy sphere
- Dirac operators on all Podleś quantum spheres
- The Moyal representation for spin
- Noncommutative geometry and gauge theory on fuzzy sphere
- Lorentz signature and twisted spectral triples
- Connections on central bimodules in noncommutative differential geometry
- The Dirac operator on the fuzzy sphere
- Finite quantum field theory in noncommutative geometry
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- Metric properties of the fuzzy sphere
- Spectral triples from bimodule connections and Chern connections
- Matrix geometries and fuzzy spaces as finite spectral triples
- Lorentzian version of the noncommutative geometry of the standard model of particle physics
- q-deformation and semidualization in 3D quantum gravity
- Hopf algebras for physics at the Planck scale
- The fuzzy sphere
- Discrete spectral triples and their symmetries
- Noncommutative geometry of angular momentum space U(su(2))
- Linear connections in non-commutative geometry
- Quantization of point particles in (2 + 1)-dimensional gravity and spacetime discreteness
- Digital finite quantum Riemannian geometries
- Quantum gravity on polygons and R×Zn FLRW model *
- Fuzzy and discrete black hole models*
- Quantum Riemannian Geometry
- Gravity induced from quantum spacetime
- Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity
- Quantized Space-Time
- Noncommutative manifolds, the instanton algebra and isospectral deformations
This page was built for publication: Geometric Dirac operator on the fuzzy sphere