Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices

DOI10.1016/j.nuclphysb.2009.06.031zbMath1196.81217arXiv0905.2338OpenAlexW2095479563WikidataQ61833254 ScholiaQ61833254MaRDI QIDQ1960087

Derek Harland, Seçkin Kürkçüoğlu

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2338

zbMATH Keywords

solitonsnon-commutative geometryfield theories in higher dimensionsspace-time symmetries

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Soliton equations (35Q51) Noncommutative geometry methods in quantum field theory (81T75) Kaluza-Klein and other higher-dimensional theories (83E15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions ⋮ Intersecting branes, Higgs sector, and chirality from \(\mathcal{N} =4\) SYM with soft SUSY breaking ⋮ Chaos from equivariant fields on fuzzy \(S^4\) ⋮ Dimensional reduction over the quantum sphere and non-Abelian \(q\)-vortices ⋮ Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions

Cites Work

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• Quantized gauge theory on the fuzzy sphere as random matrix model
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• VORTICES AS INSTANTONS IN NONCOMMUTATIVE DISCRETE SPACE: USE OF Z₂ COORDINATES
• Unified theories from fuzzy extra dimensions
• Topological Solitons
• GAUGE FIELDS ON THE FUZZY SPHERE

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