On the algebra Ah,n (osp(2|2)(2)) and free boson representations

Niall MacKay, Liu Zhao

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A two-parameter quantum deformation of the affine Lie superalgebra osp(2|2)(2) is introduced and studied in some detail. This algebra is the first example associated with nonsimply laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c = 1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.
Original languageEnglish
Pages (from-to)6313-6324
Number of pages12
JournalJournal of Physics A: Mathematical and General
Issue number32
Publication statusPublished - 2001

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