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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 359135.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Noncommutative associative superproduct for general supersymplectic forms
Authors:de Castro, A.; Quevedo, L.; Martin, Ian; Restuccia, A.
Date of Publication (YYYY-MM-DD):2008-08
Title of Journal:Journal of High Energy Physics
Issue / Number:8
Sequence Number of Article:9
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:DOI:10.1088/1126-6708/2008/08/009
ISSN:1126-6708
LOCALID:arXiv:0804.2028v2 [hep-th]
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0804.2028v2.pdf  [224,00 Kb] [Comment:arXiv:0804.2028v2 [hep-th]]  
 
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