Noncommutative Gauge Theories from Deformation Quantization
高能物理 - 理论
2009-10-31 v6
摘要
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.
引用
@article{arxiv.hep-th/0002138,
title = {Noncommutative Gauge Theories from Deformation Quantization},
author = {Tsuguhiko Asakawa and Isao Kishimoto},
journal= {arXiv preprint arXiv:hep-th/0002138},
year = {2009}
}
备注
23 pages, LaTeX2e, Final version published in Nucl.Phys.B