We show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to the principal SUSY W-algebras, we get the free field realization of them inside the SUSY Heisenberg vertex algebras. Furthermore, the screening operators for principal SUSY W-algebras allow us to analyze their structure via the principal SUSY W-algebras associated with osp(1|2), osp(2|2), osp(3|2) and osp(4|2).
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Arim Song (2024) studied this question.
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