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Gauge theories in noncommutative homogeneous Kähler manifolds
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Maeda, Yoshiaki, Sako, Akifumi, Suzuki, Toshiya and Umetsu, Hiroshi (2014) Gauge theories in noncommutative homogeneous Kähler manifolds. Journal of Mathematical Physics, Volume 55 (Number 9). 092301. doi:10.1063/1.4893982 ISSN 0022-2488.
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Official URL: http://dx.doi.org/10.1063/1.4893982
Abstract
We construct a gauge theory on a noncommutative homogeneous Kähler manifold, where we employ the deformation quantization with separation of variables for Kähler manifolds formulated by Karabegov. A key point in this construction is to obtaining vector fields which act as inner derivations for the deformation quantization. We give an explicit construction of this gauge theory on noncommutative CPN and noncommutative CHN .
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Journal of Mathematical Physics | ||||||||
Publisher: | American Institute of Physics | ||||||||
ISSN: | 0022-2488 | ||||||||
Official Date: | 2 September 2014 | ||||||||
Dates: |
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Volume: | Volume 55 | ||||||||
Number: | Number 9 | ||||||||
Page Range: | 092301 | ||||||||
DOI: | 10.1063/1.4893982 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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