Bailin Song

activity

20052026

most citedJet schemes and invariant theory

16 citations · 75 across the 19 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.QA2026

A new $S L_{2}$ -action on the rank-two $β γ$ -system

Tomoyuki Arakawa, Xuanzhong Dai, Bailin Song

We construct an explicit rational $\mathrm{SL}_2(\mathbb C)$-action on the underlying vector space of the rank-two $βγ$-system. The construction is motivated by Creutzig's bran…

math.RT2026

Feigin-Semikhatov duality at the critical level

Thomas Creutzig, Xuanzhong Dai, Bailin Song

The Feigin-Semikhatov duality asserts that the Heisenberg cosets of the subregular $W$ -algebra of $sl_{n}$ at level $k$ and the one of the principal $W$ -superalgebra of $\…

math.QA2026

Zhu's algebra and the $C_{2}$ -algebra of a classically free vertex operator algebra

Bailin Song, Xianlong Zeng

We prove that, for a classically free vertex algebra, the $C_{2}$ -algebra is naturally isomorphic to the associated graded algebra of Zhu's algebra. As an application, we show that n…

A new SL2​-action on the rank-two βγ-system

Feigin-Semikhatov duality at the critical level

Zhu's algebra and the C2​-algebra of a classically free vertex operator algebra

A new $S L_{2}$ -action on the rank-two $β γ$ -system

Zhu's algebra and the $C_{2}$ -algebra of a classically free vertex operator algebra