Simple field theoretical models on noncommutative manifolds

Details Simple field theoretical models on noncommutative manifolds Simple field theoretical models on noncommutative manifolds

1995-10-24

arxiv.org/abs/hep-th/9510177v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, TeX (based on lectures given by H. Grosse at Workshops in Clausthal (Germany) and Razlog (Bulgaria) in August 1995)

Scientific paper

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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