Construction of a topological charge on fuzzy S 2 × S 2 via Ginsparg - Wilson relation
نویسندگان
چکیده
We construct a topological charge of gauge field configurations on a fuzzy S2×S2 by using a Dirac operator satisfying the Ginsparg-Wilson relation. The topological charge defined on the fuzzy S2×S2 can be interpreted as a noncommutative (or matrix) generalization of the 2nd Chern character on S2 × S2. We further calculate the number of chiral zero modes of the Dirac operator in topologically nontrivial gauge configurations. Generalizations of our formulation to fuzzy (S2)k are also discussed. e-mail address: [email protected] e-mail address: [email protected] e-mail address: [email protected]
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