A noncommutative sigma-model

DOI10.4171/JNCG/75zbMath1260.58004arXiv0903.4241OpenAlexW3105573014MaRDI QIDQ535409

Varghese Mathai, Jonathan M. Rosenberg

Publication date: 11 May 2011

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4241

zbMATH Keywords

partition functionharmonic mapnoncommutative torusEuler-Lagrange equation\(\ast \)-endomorphismnoncommutative sigma-model

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Harmonic maps, etc. (58E20) Noncommutative geometry (à la Connes) (58B34)

Related Items (11)

On a gauge action on sigma model solitons ⋮ A noncommutative catenoid ⋮ Mapping spaces and automorphism groups of toric noncommutative spaces ⋮ Topological and non-topological kink families in non-linear \((\mathbb{S}^1\times\mathbb{S}^1)\)-sigma models ⋮ Fourier transform and sigma model solitons on noncommutative tori ⋮ Sigma-model solitons on noncommutative spaces ⋮ Functor of points and height functions for noncommutative Arakelov geometry ⋮ Solitons of general topological charge over noncommutative tori ⋮ The Ricci flow on noncommutative two-tori ⋮ Appendix to V. Mathai and J. Rosenberg's paper ``A noncommutative sigma-model ⋮ Twisted sigma-model solitons on the quantum projective line

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