ar X iv : h ep - t h / 01 11 05 4 v 1 6 N ov 2 00 1 Noncommutative fermions and Morita equivalence
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چکیده
We study the Morita equivalence for fermion theories on noncom-mutative two-tori. For rational values of the θ parameter (in appropriate units) we show the equivalence between an abelian noncommu-tative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.
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تاریخ انتشار 2008