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Free Field Realization of Supersymmetric W-algebras
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Free Field Realization of Supersymmetric W-algebras
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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 principal SUSY W-algebras, we get their free field realization inside the SUSY Heisenberg vertex algebras. Furthermore, the screening operators for principal SUSY W-algebras allow us to present them as intersections of the principal SUSY W-algebras associated with $\mathfrak{osp}(1|2)$, $\mathfrak{osp}(2|2)$, $\mathfrak{osp}(3|2)$ and $\mathfrak{osp}(4|2)$, tensored with SUSY Heisenberg vertex algebras.
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Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra
The universal N=2 supersymmetric W_infty algebra exists as a 2-parameter family whose Y-algebra quotients satisfy the conjectured dualities, giving coset realizations and strong rationality for W_k(sl_{n+1|n}) at k = ...
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