Non-linear σ-models in noncommutative geometry: fields with values in finite spaces

DOI10.1142/S0217732303012593zbMath1086.81516arXivmath/0309143OpenAlexW2095404724MaRDI QIDQ5704700

Thomas Krajewski, Ludwik Dąbrowski, Giovanni Landi

Publication date: 15 November 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309143

zbMATH Keywords

noncommutative geometryinstantonsnoncommutative \(\sigma\)-models

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items (10)

On a gauge action on sigma model solitons ⋮ Mapping spaces and automorphism groups of toric noncommutative spaces ⋮ Fourier transform and sigma model solitons on noncommutative tori ⋮ Sigma-model solitons on noncommutative spaces ⋮ Star product formula of theta functions ⋮ Functor of points and height functions for noncommutative Arakelov geometry ⋮ Solitons of general topological charge over noncommutative tori ⋮ A noncommutative sigma-model ⋮ Twisted sigma-model solitons on the quantum projective line ⋮ A note on nonlinear σ-models in noncommutative geometry

Cites Work

• C*-algebras associated with irrational rotations
• Monopoles and solitons in fuzzy physics
• Projections in rotation algebras and theta functions
• A short survey of noncommutative geometry
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY

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