Abstract
We present a general construction of current superalgebras within the framework of quasi-free second quantization of bosons and fermions. Mathematically speaking, we given projective representations of certain Lie superalgebras realized as bounded operators on Z2-graded Hilbert spaces and, more generally, on Grassmann algebra-modules. The super-Schwinger terms occurring correspond to Z2-graded two-cocycles.
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References
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Supported by ‘Fonds zur Förderung der wissenschaftlichen Forschung in Österreich’, Project No. P5588.