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hep-th2025
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…
math.QA2025
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…
math.RT2025
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 $…