Metric properties of the fuzzy sphere

DOI10.1007/s11005-012-0590-5zbMath1276.46060arXiv1209.0108OpenAlexW3103746094MaRDI QIDQ1935697

Fedele Lizzi, Francesco D'Andrea, Joseph C. Várilly

Publication date: 19 February 2013

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

Full work available at URL: https://arxiv.org/abs/1209.0108

zbMATH Keywords

Dirac operatorsspectral distancefuzzy spherequantum metric spaceBloch coherent statesConnes' metricfuzzy spherical harmonic

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Noncommutative geometry (à la Connes) (58B34)

Related Items (13)

Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Spectral estimators for finite non-commutative geometries ⋮ Gromov-Hausdorff convergence of state spaces for spectral truncations ⋮ Geometric Dirac operator on the fuzzy sphere ⋮ Understanding truncated non-commutative geometries through computer simulations ⋮ Dirac operators for matrix algebras converging to coadjoint orbits ⋮ Pythagoras Theorem in noncommutative geometry ⋮ Revisiting Connes’ finite spectral distance on noncommutative spaces: Moyal plane and fuzzy sphere ⋮ Reconstructing manifolds from truncations of spectral triples ⋮ Spectral geometry with a cut-off: topological and metric aspects ⋮ A fuzzy bipolar celestial sphere ⋮ Connes distance function on fuzzy sphere and the connection between geometry and statistics ⋮ From noncommutative geometry to random matrix theory

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