Symplectic connections and Fedosov's quantization on supermanifolds

被引:1
|
作者
Vallejo, Jose A. [1 ]
机构
[1] State Univ San Luis Potosi, Fac Sci, San Luis Potosi 78290, Mexico
关键词
DEFORMATION QUANTIZATION; MANIFOLDS; ALGEBRAS; CURVATURE; SPACE; EVEN;
D O I
10.1088/1742-6596/343/1/012124
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A (biased and incomplete) review of the status of the theory of symplectic connections on supermanifolds is presented. Also, some comments regarding Fedosov's technique of quantization are made.
引用
收藏
页数:18
相关论文
共 50 条
  • [11] On higher order relations in Fedosov supermanifolds
    Lavrov, PM
    Radchenko, OV
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (21): : 6501 - 6508
  • [12] On the dequantization of Fedosov's deformation quantization
    Karabegov, AV
    LETTERS IN MATHEMATICAL PHYSICS, 2003, 65 (02) : 133 - 146
  • [13] On the Dequantization of Fedosov's Deformation Quantization
    Alexander V. Karabegov
    Letters in Mathematical Physics, 2003, 65 : 133 - 146
  • [14] Fedosov supermanifolds: II. Normal coordinates
    Geyer, B
    Lavrov, P
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2005, 20 (10): : 2179 - 2193
  • [15] Symplectic geometries on supermanifolds
    Lavrov, P. M.
    Radchenko, O. V.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (09): : 1337 - 1350
  • [16] A Ring-Theorist's Description of Fedosov Quantization
    Daniel R. Farkas
    Letters in Mathematical Physics, 2000, 51 : 161 - 177
  • [17] W geometry from Fedosov's deformation quantization
    Castro, C
    JOURNAL OF GEOMETRY AND PHYSICS, 2000, 33 (1-2) : 173 - 190
  • [18] A ring-theorist's description of Fedosov quantization
    Farkas, DR
    LETTERS IN MATHEMATICAL PHYSICS, 2000, 51 (03) : 161 - 177
  • [19] On Fedosov's approach to deformation quantization with separation of variables
    Karabegov, AV
    CONFERENCE MOSHE FLATO 1999, VOL II: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 22 : 167 - 176
  • [20] Semidensities on Odd Symplectic Supermanifolds
    Hovhannes M. Khudaverdian
    Communications in Mathematical Physics, 2004, 247 : 353 - 390