THE CONSTRUCTION OF NONCOMMUTATIVE MANIFOLDS USING COHERENT STATES

被引：77

作者：

GROSSE, H ^{[1
]}

PRESNAJDER, P ^{[1
]}

机构：

[1] UNIV VIENNA,INST THEORET PHYS,BOLTZMANNGASSE 5,A-1090 VIENNA,AUSTRIA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1993年 / 28卷 / 03期

关键词：

D O I：

10.1007/BF00745155

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the construction of noncommutative manifolds, which are the noncommutative analogs of homogeneous spaces using coherent states. In the conunutative limit, we obtain standard manifolds. Applications to the Fuzzy-sphere and to the Fuzzy hyperboloid are discussed in more detail.

引用

页码：239 / 250

页数：12

共 19 条

[1]

[Anonymous], GENERALIZED COHERENT

[2] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :61-110

[3] DEFORMATION THEORY AND QUANTIZATION .2. PHYSICAL APPLICATIONS [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :111-151

[4] PATH-INTEGRALS AND SUPERCOHERENT STATES [J].

CHAICHIAN, M ;

ELLINAS, D ;

PRESNAJDER, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) :3381-3391

[5]

Connes A., 1990, GEOMETRIE NONCOMMUTA

[6]

CONNES A, 1986, PUBL MATH IHES, V62, P257

[7]

DUBOISVIOLETTE M, 1988, CR ACAD SCI I-MATH, V307, P403

[8] SUPERCOHERENT STATES [J].

FATYGA, BW ;

KOSTELECKY, VA ;

NIETO, MM ;

TRUAX, DR .

PHYSICAL REVIEW D, 1991, 43 (04) :1403-1412

[9]

Grabowski J., 1992, Journal of Geometry and Physics, V9, P45, DOI 10.1016/0393-0440(92)90025-V

[10] A NONCOMMUTATIVE VERSION OF THE SCHWINGER MODEL [J].

GROSSE, H ;

MADORE, J .

PHYSICS LETTERS B, 1992, 283 (3-4) :218-222

← 1 2 →