16 citations · 16 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with Symmetry
Tomoyuki Arakawa, Toshiro Kuwabara, Sven Möller
To each complex reflection group one can attach a canonical symplectic singularity arXiv:math/9903070. Motivated by the 4D/2D duality arXiv:1312.5344, arXiv:170…
Localization of affine W-algebras
T. Arakawa, T. Kuwabara, F. Malikov
We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the…
A vertex algebra attached to the flag manifold and Lie algebra cohomology
T. Arakawa, F. Malikov
Each flag manifold carries a unique algebra of chiral differential operators. Continuing along the lines of arXiv:0903.1281 we compute the vertex algebra structure on the cohomolog…