Gauge theories on noncommutative Kähler manifolds

Yoshiaki Maeda; Akifumi Sako; Toshiya Suzuki; Hiroshi Umetsu

doi:10.1088/1742-6596/626/1/012045

Gauge theories on noncommutative Kähler manifolds

Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study gauge theories on noncommutative homogeneous Kähler manifolds. To make the noncommutative manifolds, we use the deformation quantization with separation of variables for Kähler manifolds. We construct models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. It is expected that the models connecting to commutative gauge theories are uniquely determined. As examples, we give noncommutative CP^N and noncommutative CH^N and gauge theories on them. Some kinds of gauge symmetry breaking and topological symmetry breaking by noncommutative deformations are observed by concrete geometrical calculations.

Original language	English
Article number	012045
Journal	Journal of Physics: Conference Series
Volume	626
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/626/1/012045
Publication status	Published - 2015 Jul 3
Event	7th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics ... News on Missing Links, DICE 2014 - Castiglioncello, Tuscany, Italy Duration: 2014 Sep 15 → 2014 Sep 19

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Gauge theories on noncommutative K{\"a}hler manifolds",

abstract = "We study gauge theories on noncommutative homogeneous K{\"a}hler manifolds. To make the noncommutative manifolds, we use the deformation quantization with separation of variables for K{\"a}hler manifolds. We construct models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. It is expected that the models connecting to commutative gauge theories are uniquely determined. As examples, we give noncommutative CPN and noncommutative CHN and gauge theories on them. Some kinds of gauge symmetry breaking and topological symmetry breaking by noncommutative deformations are observed by concrete geometrical calculations.",

author = "Yoshiaki Maeda and Akifumi Sako and Toshiya Suzuki and Hiroshi Umetsu",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 7th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics ... News on Missing Links, DICE 2014 ; Conference date: 15-09-2014 Through 19-09-2014",

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AU - Maeda, Yoshiaki

AU - Sako, Akifumi

AU - Suzuki, Toshiya

AU - Umetsu, Hiroshi

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2015/7/3

Y1 - 2015/7/3

N2 - We study gauge theories on noncommutative homogeneous Kähler manifolds. To make the noncommutative manifolds, we use the deformation quantization with separation of variables for Kähler manifolds. We construct models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. It is expected that the models connecting to commutative gauge theories are uniquely determined. As examples, we give noncommutative CPN and noncommutative CHN and gauge theories on them. Some kinds of gauge symmetry breaking and topological symmetry breaking by noncommutative deformations are observed by concrete geometrical calculations.

AB - We study gauge theories on noncommutative homogeneous Kähler manifolds. To make the noncommutative manifolds, we use the deformation quantization with separation of variables for Kähler manifolds. We construct models of noncommutative gauge theories that are connected with usual Yang-Mills theories in the commutative limits. It is expected that the models connecting to commutative gauge theories are uniquely determined. As examples, we give noncommutative CPN and noncommutative CHN and gauge theories on them. Some kinds of gauge symmetry breaking and topological symmetry breaking by noncommutative deformations are observed by concrete geometrical calculations.

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VL - 626

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

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T2 - 7th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics ... News on Missing Links, DICE 2014

Y2 - 15 September 2014 through 19 September 2014

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Gauge theories on noncommutative Kähler manifolds

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