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.
|ジャーナル||Journal of Physics: Conference Series|
|出版ステータス||Published - 2015 7 3|
|イベント||7th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics ... News on Missing Links, DICE 2014 - Castiglioncello, Tuscany, Italy|
継続期間: 2014 9 15 → 2014 9 19
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