Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations

DOI10.1063/1.4935548zbMath1333.81415arXiv1506.06957OpenAlexW2179121994MaRDI QIDQ3457174

Akifumi Sako, Hiroshi Umetsu, Toshiya Suzuki

Publication date: 10 December 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06957

zbMATH Keywords

noncommutative geometrygauge theoriesYang-Mills equationsFock representationsBPS-like equationsnoncommutative homogeneous Kähler manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Noncommutative geometry methods in quantum field theory (81T75) Kähler manifolds (32Q15) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Bergman spaces and Fock spaces (30H20)

Related Items (4)

Fock representations and deformation quantization of Kähler manifolds ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Twisted Fock representations of noncommutative Kähler manifolds

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