Author

V. Volkov

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Preprint Oct 2026

PBW theorem for affine super Yangian

We prove a Poincar\'e--Birkhoff--Witt theorem for the distinguished affine super Yangian $Y=Y_{1/2,1/2}(\widehat{\mathfrak{sl}}(m|n))$, where $m,n\geq2$ and $m\neq n$. With respect to the current filtration, there is a canonical isomorphism \[ \operatorname{gr}_F Y\cong U\!\left(\operatorname{uce}\!\left( \mathfrak{sl}...

V. Volkov, V. Stukopin · 0 citations