Noncommutative gauge theories from deformation quantization
Feb, 200023 pages
Published in:
- Nucl.Phys.B 591 (2000) 611-635
e-Print:
- hep-th/0002138 [hep-th]
Report number:
- KUNS-1643
View in:
Citations per year
Abstract:
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.- 11.15.-q
- 02.40.Hw
- 02.90.+p
- 04.62.+v
- Noncommutative geometry
- Gauge field theories
- Deformation quantization
- differential geometry: noncommutative
- gauge field theory: Yang-Mills
- fibre bundle
References(0)
Figures(0)
Loading ...