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- W4292949912 abstract "The universal two-parameter ${mathcal W}_{infty}$-algebra is a classifying object for vertex algebras of type ${mathcal W}(2,3,dots, N)$ for some $N$. Gaiotto and Rapv{c}'ak recently introduced a large family of such vertex algebras called $Y$-algebras, which includes many known examples such as the principal ${mathcal W}$-algebras of type $A$. These algebras admit an action of $mathbb{Z}_2$, and in this paper we study the structure of their orbifolds. Aside from the extremal cases of either the Virasoro algebra or the ${mathcal W}_3$-algebra, we show that these orbifolds are generated by a single field in conformal weight $4$, and we give strong finite generating sets." @default.
- W4292949912 created "2022-08-24" @default.
- W4292949912 creator A5011741273 @default.
- W4292949912 creator A5036350064 @default.
- W4292949912 date "2022-08-21" @default.
- W4292949912 modified "2023-09-29" @default.
- W4292949912 title "Orbifolds of Gaiotto-Rapv{c}'ak $Y$-algebras" @default.
- W4292949912 doi "https://doi.org/10.48550/arxiv.2208.10037" @default.
- W4292949912 hasPublicationYear "2022" @default.
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