On the Deformation Quantization Description of Matrix Compactifications

Details On the Deformation Quantization Description of Matrix Compactifications On the Deformation Quantization Description of Matrix Compactifications

1998-04-28

arxiv.org/abs/hep-th/9804188v2

Nucl.Phys.B541:651-670,1999

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, harvmac file, no figures, corrected typos, added references, one comment added in sec. 4

Scientific paper

10.1016/S0550-3213(98)00721-4

Matrix theory compactifications on tori have associated Yang-Mills theories on the dual tori with sixteen supercharges. A noncommutative description of these Yang-Mills theories based in deformation quantization theory is provided. We show that this framework allows a natural generalization of the `Moyal B-deformation' of the Yang-Mills theories to non-constant background B-fields on curved spaces. This generalization is described through Fedosov's geometry of deformation quantization.

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