一般超辛形式的非交换结合超积
Noncommutative associative superproduct for general supersymplectic forms
摘要：
我们定义了一个非交换和非反交换的一般超辛形式的结合产品，允许显式治疗的非（反）交换场论从一般的非恒定弦背景，如引力光子场。通过定义Weyl超代数丛的元素的Weyl超积，将Fedosov变形量子化推广到超空间，考虑了切丛而不是基空间中的非对易性.超级庞加莱对称性没有被打破，手性似乎没有在我们的配方妥协。我们表明，对于一个特定的情况下，投影的Weyl超产品的基础空间产生的Moyal产品的非（反）交换理论。
英文摘要：
We define a noncommutative and nonanticommutative associative product for general supersymplectic forms, allowing the explicit treatment of non(anti)commutative field theories from general nonconstant string backgrounds like a graviphoton field. We propose a generalization of deformation quantization a la Fedosov to superspace, which considers noncommutativity in the tangent bundle instead of base space, by defining the Weyl super product of elements of Weyl super algebra bundles. Super Poincare symmetry is not broken and chirality seems not to be compromised in our formulation. We show that, for a particular case, the projection of the Weyl super product to the base space gives rise the Moyal product for non(anti)commutative theories.
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