3 citations · 8 across the 7 of their papers we have counts for
10 papers
On quasi-lisse affine vertex algebras from rank-one Argyres-Douglas theories
Drazen Adamovic, Xuanzhong Dai, Kaiwen Sun
We study certain simple affine vertex algebras from rank-one Argyres-Douglas theories, where is a non-simply-laced simple Lie algebra and…
A new -action on the rank-two -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…
Classical freeness of affine vertex algebras of at boundary admissible levels
Tomoyuki Arakawa, Xuanzhong Dai
We prove that the simple affine vertex algebra is classically free at the boundary admissible level, which confirms a conjecture of Andrews, van Ekeren, and…
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 -algebra of at level and the one of the principal -superalgebra of $\…
On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs
Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel +2
We study the representations of some simple affine vertex algebras at non-admissible level arising from rank one 4D SCFTs. In particular, we classify the irreducible highest weight…
Simple Vertex Algebras Arising From Congruence Subgroups
Xuanzhong Dai, Bailin Song
Chiral de Rham complex introduced by Malikov et al. in 1998, is a sheaf of vertex algebras on any complex analytic manifold or non-singular algebraic variety. Starting from the ver…
Chiral de Rham complex on the upper half plane and modular forms
Xuanzhong Dai
For any congruence subgroup , we study the vertex operator algebra constructed from the -invariant global sections of the chiral de Rham complex on the…
Chiral differential operators on the upper half plane and modular forms
Xuanzhong Dai
In this paper we study the vertex operator algebra constructed from the fixed points of the chiral differential operators on the upper half pl…
Linear Topological Modules over Vertex Algebras
Xuanzhong Dai, Yongchang Zhu
We introduce the concept of linear topological modules over vertex algebras and apply it to representations of system and affine Kac-Moody algebras.
A Construction of Representations of Loop Group and Affine Lie Algebra of
Xuanzhong Dai, Yongchang Zhu
In this paper, we construct a representation of loop group and derive the formula of the corresponding representation of the affine Kac-Moody algebra with level 1. And we also prov…