Publié sur Groupe de Physique des Particules (https://feynman.lps.umontreal.ca)

Accueil > Generalized coherent states, star producs and fuzzy manifolds

Generalized coherent states, star producs and fuzzy manifolds

Garnik Alexanian
Résumé: 

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.

Date: 
Vendredi, 14 Juin, 2002 - 14:30
Lieu de Séminaire: 
Room 104, Pavillon René JA Lévesque

URL source: https://feynman.lps.umontreal.ca/fr/seminar/generalized-coherent-states-star-producs-and-fuzzy-manifolds