On a Z\(_3\)-graded generalization of the Witten index

DOI10.1016/S0550-3213(01)00630-7zbMath0985.81050arXivhep-th/0112069OpenAlexW2067554088MaRDI QIDQ5956562

Ali Mostafazadeh

Publication date: 20 February 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0112069

zbMATH Keywords

topological invariantsoperator pairstopological symmetry algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Graded Lie (super)algebras (17B70)

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Cites Work

• Quantum mechanical symmetries and topological invariants
• Parasupersymmetric Quantum Mechanics and Indices of Fredholm Operators
• Geometrical Foundations of Fractional Supersymmetry
• Supersymmetry and the Atiyah–Singer index theorem. I. Peierls brackets, Green’s functions, and a proof of the index theorem via Gaussian superdeterminants
• Seminar on Atiyah-Singer Index Theorem. (AM-57)