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arXiv · 2607.11750

Filtration and gradation of quantum affine vertex algebras

Fei Kong
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Abstract

In this paper, we present a unified construction of quantum affine vertex algebras associated to double Yangians, untwisted quantum affinization algebras, and twisted quantum affinization algebras. We show that these $\hbar$-adic quantum vertex algebras contain a dense quantum vertex subalgebra equipped with a increasing filtration. Moreover, we prove that the associated graded algebras with respect to these filtrations are isomorphic to a $\mathbb Z$-graded dense quantum vertex subalgebra of the quantum affine vertex algebras associated to double Yangians.

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Fei Kong. 2026-07-13. Filtration and gradation of quantum affine vertex algebras. https://arxiv.org/abs/2607.11750

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