Fock-space representations of the relativistic supersymmetry algebra in the two-dimensional spacetime

Arai, Asao

Hokkaido University Preprint Series in Mathematics, 1991, 123, 2-13

Permalink : https://doi.org/10.14943/83268

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DOI	https://doi.org/10.14943/83268
URI	https://hdl.handle.net/2115/68870
タイトル	Fock-space representations of the relativistic supersymmetry algebra in the two-dimensional spacetime
著者	著者名 Arai, Asao
言語	英語
発行日	1991-09
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	123
ページ	2-13
抄録	An operator theoretical analysis is made on the representation of the supersymmetry(SUSY) algebra originating from the relativistic supersymmetry in the two dimensional space-time with a proper treatment of anticommutatvity and commutativity of operators in the SUSY algebra. It is shown that, given on a Hilbert space .fj two selfadjoint supercharges anticommuting in the strong sense, one can construct a representation of the SUSY algebra on .fj such that the supersymmetric Hamiltonian and the momentum operator commute in the strong sense. As an application, a general class of representations of the SUSY algebra is constructed on an abstract Boson-Fermion Fock space.
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出版タイプ	Version of Record