SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY

DOI10.1142/S0217979200001898zbMath1073.81656arXivhep-th/0003099MaRDI QIDQ5312007

Ludwik Dąbrowski, Thomas Krajewski, Giovanni Landi

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0003099

Mathematics Subject Classification ID

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

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On a gauge action on sigma model solitons, QUASITRIANGULAR WZW MODEL, 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, Categories of holomorphic line bundles on higher dimensional noncommutative complex tori, Non-linear σ-models in noncommutative geometry: fields with values in finite spaces, Functor of points and height functions for noncommutative Arakelov geometry, Solitons of general topological charge over noncommutative tori, Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance, Anti-self-dual Yang-Mills equations on noncommutative space-time, A noncommutative sigma-model, SOLITONS ON NONCOMMUTATIVE TORUS AS ELLIPTIC CALOGERO–GAUDIN MODELS, BRANES AND LAUGHLIN WAVE FUNCTIONS, Twisted sigma-model solitons on the quantum projective line, A note on nonlinear σ-models in noncommutative geometry, FUZZY NAMBU–GOLDSTONE PHYSICS

Cites Work

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