Dan Xie

collaborators

2 papers

hep-th2026

On the Representation Theory of Non-Admissible $W$ -Algebras: Part I

Dan Xie

Motivated by the mirror symmetry for circle compactified 4d $N = 2$ theories, we propose a geometric framework for studying the representation theory of non-admissible $W$ -algebras $…

math.RT2024

Modularity for $W$ -algebras and affine Springer fibres

Peng Shan, Dan Xie, Wenbin Yan

We construct a bijection between admissible representations for an affine Lie algebra $g$ at boundary admissible levels and $C^{\times}$ fixed points in homogeneo…

On the Representation Theory of Non-Admissible W-Algebras: Part I

Modularity for W-algebras and affine Springer fibres

On the Representation Theory of Non-Admissible $W$ -Algebras: Part I

Modularity for $W$ -algebras and affine Springer fibres