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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83416

Title: Operator-theoretical analysis of representation of a supersymmetry algebra in Hilbert space
Authors: Arai, A. Browse this author
Issue Date: 1-Nov-1994
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 269
Start Page: 2
End Page: 12
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69020
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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