Parastatistics Fock spaces. T. Popov. Sofia, Bulgaria. October 22, 2009. Abstract. We consider parabosonic and parafermionic algebras focusing on the structure ...
Parastatistics Fock spaces T. Popov Sofia, Bulgaria
October 22, 2009
Abstract We consider parabosonic and parafermionic algebras focusing on the structure of the Fock-like spaces of given parastatistics order. These are unitary irreducible representations with lowest weight of osp(1|2n) and so(2n + 1), respectively. More generally, parastatistics algebras with n parabosons and m parafermions are isomorphic to osp(1 + 2m|2n). The states in parastatistics Fock-like spaces are labelled by Super Semistandard Young Tableaux. Character formulas on Fock-like spaces yield new identities which are row and column length restrictions of some classical Schur function identities.
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