Generalized coherent state approach to star products and applications to the fuzzy sphere

被引：83

作者：

Alexanian, G ^{[1
]}

Pinzul, A

Stern, A

机构：

[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

[2] Univ Alabama, Dept Phys, Tuscaloosa, AL 35487 USA

来源：

NUCLEAR PHYSICS B | 2001年 / 600卷 / 03期

关键词：

D O I：

10.1016/S0550-3213(00)00743-4

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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. (C) 2001 Elsevier Science B,V. All rights reserved.

引用

页码：531 / 547

页数：17

共 46 条

[1]

Alekseev AY, 2000, J HIGH ENERGY PHYS

[2] HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].