标题： 关于Z_3-分次的Witten指标的推广 显示英文标题

标题： On a Z_3-Graded Generalization of the Witten Index

摘要： 我们构造了类型为(1,1,1)的Z_3-分次拓扑对称代数的一个实现，该实现由一对算子D_1: H_1 -> H_2和D_2: H_2 -> H_3组成，满足[D_1D_1^\dagger ,D_2^\dagger D_2]=0。我们证明了这些算子在零能子空间上的限制序列形成一个复形，并建立了相应的拓扑不变量与这些算子的解析指标相等。 显示英文摘要

摘要： 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.