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A classification of lowest weight irreducible modules over Z22-graded extension of osp (1|2)
K. Amakawa, N. Aizawa
Source abstract
We investigate representations of the Z22-graded extension of osp(1|2), which is the spectrum generating algebra of the recently introduced Z22-graded version of superconformal mechanics. The main result is a classification of irreducible lowest weight modules of the Z22-graded extension of osp(1|2). This is done via the introduction of Verma modules and its maximal invariant submodule generated by singular vectors. Explicit formulas of all singular vectors are also presented.
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