Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space

DOI10.1063/1.531144zbMath0836.46069OpenAlexW2125948976MaRDI QIDQ4837373

Asao Arai

Publication date: 29 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531144

zbMATH Keywords

supersymmetrysupersymmetric quantum field theoryunbounded representationsSUSY algebrastrong anticommutativity of selfadjoint operators

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of functional analysis in quantum physics (46N50)

Related Items (1)

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

Cites Work

• Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory
• Supersymmetry and the spectral condition on a cylinder
• Anticommuting selfadjoint operators
• A general class of infinite dimensional Dirac operators and path integral representation of their index
• Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
• Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators
• Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
• Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala)

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