6 papers
Affine vertex algebras and an affine analog of Barbasch-Vogan's construction
Peng Shan, Wenbin Yan, Qixian Zhao
This is an expository paper based on the authors' joint works. The goal is to explain the statements and the ideas behind two conjectures on associated varieties and simple modules…
Cyclotomic level maps and associated varieties of simple affine vertex algebras
Peng Shan, Wenbin Yan, Qixian Zhao
In this paper, we introduce and study two cyclotomic level maps defined respectively on the set of nilpotent orbits in a complex semi-simple Lie algebra $…
Chiral algebra, Wilson lines, and mixed Hodge structure of Coulomb branch
Yutong Li, Yiwen Pan, Wenbin Yan
We find an intriguing relation between the chiral algebra and the mixed Hodge structure of the Coulomb branch of four dimensional superconformal field theories. W…
Characters and fusion rules of boundary W-algebras
Tomoyuki Arakawa, Igor Alarcon Blatt, Jethro van Ekeren +1
We study the q-characters and modular data of exceptional W-algebras and give several examples and applications. We establish equality of q-characters and modular data between cert…
Mirror symmetry for 4d class- theories: modularity, defects and Coulomb branch
Yiwen Pan, Wenbin Yan
This is the companion paper of the letter arXiv:2410.15695, containing all the details and series of examples on a 4d mirror symmetry for the class- theories which rel…
Mirror symmetry for circle compactified 4d class- theories
Yiwen Pan, Wenbin Yan
In this letter, we propose a 4d mirror symmetry for the class- theories which relates the representation theory of the chiral quantization of the Higgs branch and the…