Affine extensions of Z2^2-graded osp(1|2) yield a Z2^2-graded Virasoro algebra with non-trivially graded central element via Sugawara construction, supported by a developed theory of invariant bilinear forms on graded superalgebras.
Toppan, Inequivalent quantizations from gradings a nd Z2 × Z2 parabosons, J
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Affine extensions of $\mathbb{Z}_2^2$-graded $osp(1|2)$ and Virasoro algebra
Affine extensions of Z2^2-graded osp(1|2) yield a Z2^2-graded Virasoro algebra with non-trivially graded central element via Sugawara construction, supported by a developed theory of invariant bilinear forms on graded superalgebras.