Simple field theoretical models on noncommutative manifolds

H. Grosse; C. Klimcik; P. Presnajder

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arXiv · hep-th/9510177

Simple field theoretical models on noncommutative manifolds

H. Grosse·C. Klimcik·P. Presnajder

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Abstract

We review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We describe the Fuzzy sphere and a way to approximate topological nontrivial configurations using matrix models. We obtain an ultraviolet cut off procedure, which respects the symmetries of the model. The treatment of spinors results from a supersymmetric formulation; our cut off procedure preserves even the supersymmetry.

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H. Grosse, C. Klimcik, P. Presnajder. 1995-10-24. Simple field theoretical models on noncommutative manifolds. https://arxiv.org/abs/hep-th/9510177

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