Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds

被引:0
|
作者
McCurdy, Shannon [1 ]
Zumino, Bruno [1 ]
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
关键词
DEFORMATION-THEORY; QUANTIZATION;
D O I
暂无
中图分类号
O59 [应用物理学];
学科分类号
摘要
After a brief description of the Z-graded differential Poisson algebra, we Introduce a covariant star product for exterior differential forms and give an explicit expression for it up to second order in the deformation parameter h, in the case of symplectic manifolds. The graded differential Poisson algebra endows the manifold with a connection, not necessarily torsion-free, and places upon the connection various constraints
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页码:204 / 214
页数:11
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