Fuzzy complex projective spaces and their star-products
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Publication:697833
DOI10.1016/S0393-0440(02)00020-7zbMath1007.51007arXivhep-th/0107099OpenAlexW3104627398MaRDI QIDQ697833
Brian P. Dolan, Denjoe O'connor, Xavier Martin, Joohan Lee, Aiyalam P. Balachandran
Publication date: 17 September 2002
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0107099
Noncommutative geometry methods in quantum field theory (81T75) Classical or axiomatic geometry and physics (51P05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Chirality and Dirac operator on noncommutative sphere
- On finite 4D quantum field theory in non-commutative geometry
- Noncommutative geometry and gauge theory on fuzzy sphere
- Monopoles and solitons in fuzzy physics
- A path integral approach to the Kontsevich quantization formula.
- The Dirac operator on the fuzzy sphere
- Finite quantum field theory in noncommutative geometry
- The origin of chiral anomaly and the noncommutative geometry
- Generalized coherent states and the diagonal representation for operators
- Subalgebras with converging star products in deformation quantization: An algebraic construction for C P n