A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra gl(m/n+1)

Details A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra gl(m/n+1) A Holstein-Primakoff and Dyson Realizations for the Lie Superalgebra gl(m/n+1)

1996-07-29

arxiv.org/abs/hep-th/9607222v1

J.Phys.A30:8273-8278,1997

Physics

High Energy Physics

High Energy Physics - Theory

TeX, 7 pages

Scientific paper

10.1088/0305-4470/30/23/023

The known Holstein-Primakoff and Dyson realizations for the Lie algebras
$gl(n+1),\;n=1,2,\ldots$ 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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