Noncommutative Gauge Theories from Deformation Quantization

Details Noncommutative Gauge Theories from Deformation Quantization Noncommutative Gauge Theories from Deformation Quantization

2000-02-16

arxiv.org/abs/hep-th/0002138v6

Nucl.Phys. B591 (2000) 611-635

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTeX2e, Final version published in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(00)00433-8

We construct noncommutative gauge theories based on the notion of the Weyl bundle, which appears in Fedosov's construction of deformation quantization on an arbitrary symplectic manifold. These correspond to D-brane worldvolume theories in non-constant B-field and curved backgrounds in string theory. All such theories are embedded into a "universal" gauge theory of the Weyl bundle. This shows that the combination of a background field and a noncommutative field strength has universal meaning as a field strength of the Weyl bundle. We also show that the gauge equivalence relation is a part of such a "universal" gauge symmetry.

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