DIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELD

DOI10.1142/S0217751X9800161XzbMath0959.58005arXivq-alg/9710034MaRDI QIDQ4244222

Ursula Carow-Watamura, Satoshi Watamura

Publication date: 12 February 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9710034

zbMATH Keywords

noncommutative geometryDirac operatorquantizationKähler manifoldsfuzzy sphere

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34) Geometric quantization (53D50)

Related Items (12)

STABILITY OF THE FUZZY SPHERE SOLUTION FROM MATRIX MODEL ⋮ SOLITONS FOR THE FUZZY SPHERE FROM THE MATRIX MODEL ⋮ Metric properties of the fuzzy sphere ⋮ q-deformed fuzzy Ginsparg–Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere ⋮ Dirac operators for matrix algebras converging to coadjoint orbits ⋮ 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 ⋮ GRAVITY ON A FUZZY SPHERE ⋮ Super Dirac operator on the super fuzzy sphere \(S_F^{(2|2)}\) in instanton sector using super Ginsparg-Wilson algebra ⋮ "SCHWINGER MODEL" ON THE FUZZY SPHERE ⋮ Dirac operators on the fuzzy AdS2 with the spins $\frac{1}{2}$12 and 1 ⋮ A new noncommutative product on the fuzzy two-sphere corresponding to the unitary representation of SU(2) and the Seiberg-Witten map

Cites Work

• General concept of quantization
• Quantum Riemann surfaces. I: The unit disc
• Deformation estimates for the Berezin-Toeplitz quantization
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Chirality and Dirac operator on noncommutative sphere
• Strings from matrices
• A large-\(N\) reduced model as superstring
• The Dirac operator on the fuzzy sphere
• Finite quantum field theory in noncommutative geometry
• On the first-order operators in bimodules
• Topologically nontrivial field configurations in noncommutative geometry
• Noncommutative differential geometry of matrix algebras
• The fuzzy sphere
• QUANTIZATION
• Quantization of Kahler Manifolds. II
• On the quantum mechanics of supermembranes

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