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On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations

N MacKay·L Zhao
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Abstract

A two-parameter quantum deformation of the affine Lie super algebra $osp(2|2)^{(2)}$ 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.

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N MacKay, L Zhao. 2000-10-05. On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations. https://doi.org/10.1088/0305-4470%2F34%2F32%2F311

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