Topologically nontrivial field configurations in noncommutative geometry

Details Topologically nontrivial field configurations in noncommutative geometry Topologically nontrivial field configurations in noncommutative geometry

1995-10-12

arxiv.org/abs/hep-th/9510083v2

Commun.Math.Phys. 178 (1996) 507-526

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX (normalization coefficients in Eqs. (93) corrected)

Scientific paper

10.1007/BF02099460

In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symmetry), but due to the noncommutativity of the space the fields are regularized and they contain only finite number of modes.

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