Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra

DOI10.1002/mana.1999.3212070104zbMath1160.81380OpenAlexW2123930838MaRDI QIDQ4704684

Asao Arai

Publication date: 3 January 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.1999.3212070104

zbMATH Keywords

supersymmetryboson-fermion Fock spaceinfinite dimensional Dirac operatorStrong anticommutativity

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory
• Anticommuting selfadjoint operators
• A general class of infinite dimensional Dirac operators and path integral representation of their index
• De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions
• Comparison and nuclearity of spaces of differential forms on topological vector spaces
• Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
• On self-adjointness of Dirac operators in Boson-Fermion Fock spaces
• Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators
• Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold
• Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators
• Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons
• Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala)
• Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space

This page was built for publication: Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra