A new noncommutative product on the fuzzy two-sphere corresponding to the unitary representation of SU(2) and the Seiberg-Witten map

DOI10.1016/S0370-2693(02)03193-3zbMath1006.81086arXivhep-th/0209240OpenAlexW2024547315MaRDI QIDQ1854610

Yanyan Li

Publication date: 14 January 2003

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0209240

zbMATH Keywords

star productpower expansiongauge-field degree of freedom

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (10)

Gauge theories in noncommutative homogeneous Kähler manifolds ⋮ Matrix configurations for spherical 4-branes and non-commutative structures on \(S^4\) ⋮ Strings, dipoles and fuzzy spheres ⋮ Deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ YM on the dielectric brane: a D0-brane tale ⋮ Matrix quantization of gravitational edge modes ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Invariant star products on \(S^2\) and the canonical trace ⋮ Fuzzy torus and \(q\)-deformed Lie algebra

Cites Work

• Unnamed Item
• General concept of quantization
• The construction of noncommutative manifolds using coherent states
• Phase space reduction for star-products: An explicit construction for \(\mathbb{C} P^ n\)
• Topologically nontrivial field configurations in noncommutative geometry
• DIFFEOMORPHISM GROUPS, QUANTIZATION, AND SU(∞)
• DIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELD
• Noncommutative gauge theory on fuzzy sphere from matrix model

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