On a Z_3-Graded Generalization of the Witten Index
High Energy Physics - Theory
2009-11-07 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We construct a realization of the algebra of the Z_3-graded topological symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and D_2: H_2 -> H_3 satisfying [D_1D_1^\dagger,D_2^\dagger D_2]=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.
Cite
@article{arxiv.hep-th/0112069,
title = {On a Z_3-Graded Generalization of the Witten Index},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:hep-th/0112069},
year = {2009}
}
Comments
Accepted for publication in Nucl. Phys. B