3 papers
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 -algebra of at level and the one of the principal -superalgebra of $\…
math.RT2024
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…
math.QA2024
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…