Generalized coherent state approach to star products and applications to the fuzzy sphere
| Autor: | Allen Stern, Aleksandr Pinzul, G. Alexanian |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Plane (geometry) FOS: Physical sciences Stereographic projection Torus Fuzzy control system Star (graph theory) Fuzzy logic High Energy Physics - Theory (hep-th) Star product Quantum mechanics Product (mathematics) Commutative property Complex plane Mathematics Fuzzy sphere |
| Zdroj: | Nuclear Physics B. 600:531-547 |
| ISSN: | 0550-3213 |
| Popis: | We construct a star product associated with an arbitrary two dimensional Poisson structure using generalized coherent states on the complex plane. From our approach one easily recovers the star product for the fuzzy torus, and also one for the fuzzy sphere. For the latter we need to define the `fuzzy' stereographic projection to the plane and the fuzzy sphere integration measure, which in the commutative limit reduce to the usual formulae for the sphere. Comment: 18 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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