Dirac operators for matrix algebras converging to coadjoint orbits
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Publication:6165458
DOI10.1007/s00220-023-04682-0zbMath1527.46046arXiv2108.01136OpenAlexW3192447082MaRDI QIDQ6165458
Publication date: 4 July 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01136
Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)
Related Items (3)
Convergence of Fourier truncations for compact quantum groups and finitely generated groups ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ Category of quantizations and inverse problem
Cites Work
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- Lectures on matrix field theory
- A projective Dirac operator on \(\mathbb{CP}^2\) within fuzzy geometry
- The dual Gromov-Hausdorff propinquity
- Gravity coupled with matter and the foundation of non-commutative geometry
- Ergodic actions of compact groups on operator algebras. I: General theory
- Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
- Compact ergodic groups of automorphisms
- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
- Metrics on states from actions of compact groups
- Gauge theories on the noncommutative sphere
- Chirality and Dirac operator on noncommutative sphere
- Field theory on a supersymmetric lattice
- Noncommutative geometry and gauge theory on fuzzy sphere
- Collapsing and Dirac-type operators
- Vector bundles for ``matrix algebras converge to the sphere
- Scalar and spinor field actions on fuzzy \(S^4\): fuzzy \(\mathbb{C} P^3\) as a \(S^2_F\) bundle over \(S^4_F\)
- Metrics on state spaces
- Critical points of Yang-Mills for noncommutative two-tori
- Collapsing and the differential form Laplacian: the case of a smooth limit space.
- The Dirac operator on the fuzzy sphere
- Topologically nontrivial field configurations in noncommutative geometry
- Metric properties of the fuzzy sphere
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
- The dual modular Gromov-Hausdorff propinquity and completeness
- On multimatrix models motivated by random noncommutative geometry. II: A Yang-Mills-Higgs matrix model
- Cotangent bundles for ``matrix algebras converge to the sphere
- On multimatrix models motivated by random noncommutative geometry. I: The functional renormalization group as a flow in the free algebra
- Convergence of spectral triples on fuzzy tori to spectral triples on quantum tori
- Noncommutative geometry and particle physics
- Unusual thermodynamics on the fuzzy 2-sphere
- Spin structures on compact homogeneous pseudo-Riemannian manifolds
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- The Gromov-Hausdorff propinquity for metric spectral triples
- Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models
- Ergodic actions and spectral triples
- PRODUCT OF REAL SPECTRAL TRIPLES
- Matrix geometries and fuzzy spaces as finite spectral triples
- Leibniz seminorms for "Matrix algebras converge to the sphere"
- "SCHWINGER MODEL" ON THE FUZZY SPHERE
- The index theorem for theq-deformed fuzzy sphere
- The quantum Gromov-Hausdorff propinquity
- Dirac operators for coadjoint orbits of compact Lie groups
- DIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELD
- Gromov-Hausdorff distance for quantum metric spaces
- Strict quantization of coadjoint orbits
- Noncommutative geometry and reality
- Philosophy and the Interpretation of Quantum Physics
- Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg–Wilson algebra
- Dirac operator on the quantum fuzzy four-sphere SqF4
- The modular Gromov–Hausdorff propinquity
- Quantum Riemannian Geometry
- Lie Groups, Lie Algebras, and Representations
- Matricial bridges for “Matrix algebras converge to the sphere”
- Compact metric spaces, Fredholm modules, and hyperfiniteness
- Quantum (matrix) geometry and quasi-coherent states
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