Noncommutative associative superproduct for general supersymplectic forms

Details Noncommutative associative superproduct for general supersymplectic forms Noncommutative associative superproduct for general supersymplectic forms

2008-04-12

arxiv.org/abs/0804.2028v2

JHEP 0808:009,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, revtex4. References added. Comments added. Includes additional theorem proofs

Scientific paper

10.1088/1126-6708/2008/08/009

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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