Realization of irreducible unitary representations of $ \mathfrak{osp}(M/N; \mathbb{R}) $ on Fock spaces

Abstract

We classify irreducible super unitary representations of an orthosymplectic Lie superalgebra $ \mathfrak{osp}(M/N; \mathbb{R} ) $ using the notion of super dual pairs in $ \mathfrak{osp}(M/N) $.