Abstract
In this paper, we construct the super Witt algebra and super Virasoro algebra in the framework of the [Formula: see text]-deformed quantum algebras. Moreover, we perform the super [Formula: see text]-deformed Witt [Formula: see text]-algebra, the [Formula: see text]-deformed Virasoro [Formula: see text]-algebra and discuss the super [Formula: see text]-Virasoro [Formula: see text]-algebra ([Formula: see text] even). Besides, we define and construct another super [Formula: see text]-deformed Witt [Formula: see text]-algebra and study a toy model for the super [Formula: see text]-Virasoro constraints. Relevant particular cases induced from the quantum algebras known in the literature are deduced from the formalism developed.
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