On a Z3-Graded Generalization of the Witten Index
نویسنده
چکیده
We construct a realization of the algebra of the Z3-graded topological symmetry of type (1, 1, 1) in terms of a pair of operators D1 : H1 → H2, D2 : H2 → H3 satisfying [D1D † 1,D † 2D2] = 0. We show that the sequence of the restriction of these operators to the zero-energy subspace forms a complex and establish the equality of the corresponding topological invariants with the analytic indices of these operators.
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