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

Arai, A.

Hokkaido University Preprint Series in Mathematics, 1994, 269, 2-12

Permalink : https://doi.org/10.14943/83416

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DOI	https://doi.org/10.14943/83416
URI	https://hdl.handle.net/2115/69020
タイトル	Operator-theoretical analysis of representation of a supersymmetry algebra in Hilbert space
著者	著者名 Arai, A.
言語	英語
発行日	1994-11-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	269
ページ	2-12
抄録	Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a supersymmetry (SUSY) algebra coming from a supersymmetric quantum field theory in two-dimensional space-time. A basic idea for the analysis is to apply the theory of strongly anticommuting self-adjoint operators. A theorem on integrability of a representation of the SUSY algebra is established. 1foreover, it is shown that strong anticommutativity of self-adjoint operators is a natural and suitable concept in analyzing representations of the SUSY algebra in Hilbert spaces.
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出版タイプ	Version of Record