2001/12/10 by Ali Mostafazadeh
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Computer science #Construct (python library) #Generalization #Linguistics #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Realization (probability) #Sequence (biology) #Subspace topology #Symmetry (geometry) #Type (biology) #Zero (linguistics) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/s0550-3213(01)00630-7
published as Nucl.Phys. B624 (2002) 500-508 · Accepted for publication in Nucl. Phys. B
arxiv created 2001/12/10 · openalex publication_date 2002/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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, and D2: H2 -> H3 satisfying [D1D1^†,D2^† D2]=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.