Topologically nontrivial field configurations in noncommutative geometry
arXiv:hep-th/9510083 · doi:10.1007/BF02099460
Abstract
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.
27 pages, LaTeX (normalization coefficients in Eqs. (93) corrected)