3 papers
math.QA2026
Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
Tomoyuki Arakawa, Andrea E. V. Ferrari, Sven Möller
Hypertoric (or toric hyperkähler) varieties are a class of symplectic singularities and their resolutions, obtained as Hamiltonian reductions of a symplectic vector space acted on…
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.RT2024
Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
Tomoyuki Arakawa, Vyacheslav Futorny, Libor Krizka
The closure of a Diximier sheet is the image of a generalized Grothendieck's simultaneous resolution. We show that the associated variety of simple affine vertex algebras is contai…