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Quasi-Dirac Operators and Quasi-Fermions

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arxiv math-ph/0602030 v2 pith:NAPWZIUX submitted 2006-02-12 math-ph math.MP

Quasi-Dirac Operators and Quasi-Fermions

classification math-ph math.MP
keywords operatorsquasi-diraccommutativeconditiondiracdistinctequivariantexamples
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We investigate examples of quasi-spectral triples over two-dimensional commutative sphere, which are obtained by modifying the order-one condition. We find equivariant quasi-Dirac operators and prove that they are in a topologically distinct sector than the standard Dirac operator.

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