A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra gl(m/n+1)
Abstract
The known Holstein-Primakoff and Dyson realizations for the Lie algebras gl(n+1),\;n=1,2,… in terms of Bose operators are generalized to the class of the Lie superalgebras gl(m/n+1) for any n and m. Formally the expressions are the same as for gl(m+n+1), however both Bose and Fermi operators are involved.
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