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arXiv · 2609.33348

Classical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levels

Abstract

We prove that the simple affine vertex algebra $L_k(\mathfrak{sl}_2)$ is classically free at the boundary admissible level, which confirms a conjecture of Andrews, van Ekeren, and Heluani.

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Tomoyuki Arakawa, Xuanzhong Dai. 2026-09-27. Classical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levels. https://arxiv.org/abs/2609.33348

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