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arXiv · 2411.10694

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras

Justine Fasquel·Vladimir Kovalchuk·Shigenori Nakatsuka
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Abstract

In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of height two. Moreover, these results are lifted to the universal objects by analyzing the Virasoro-type reduction of the vertex algebra $\mathcal{W}^{\mathfrak{sp}}_{\infty}$.

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BibTeXRIS

Justine Fasquel, Vladimir Kovalchuk, Shigenori Nakatsuka. 2024-11-16. On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras. https://arxiv.org/abs/2411.10694

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