8 papers
On the geometry of Coulomb branches
Ben Webster
The paper provides a uniform geometric description of Coulomb branches of 3‑dimensional N=4 gauge theories using blowups of toric compactifications, and uses this description to cl…
Three perspectives on categorical symmetric Howe duality
Ben Webster
The paper studies categorical symmetric Howe duality from diagrammatic, geometric, and representation‑theoretic viewpoints, establishing a Koszul duality between blocks of Gelfand‑…
Unfurling Khovanov-Lauda-Rouquier algebras
Ben Webster
In this paper, we study the behavior of categorical actions of a Lie algebra under the deformation of their spectra. We give conditions under which the general point…
Nil-Brauer categorifies the split iquantum group of rank one
Jonathan Brundan, Weiqiang Wang, Ben Webster
We prove that the Grothendieck ring of the monoidal category of finitely generated graded projective modules for the nil-Brauer category is isomorphic to an integral form of the sp…
Twisted traces on abelian quantum Higgs and Coulomb branches
Davide Gaiotto, Justin Hilburn, Jaime Redondo-Yuste +2
We study twisted traces on the quantum Higgs branches of gauge theories, that is, the quantum Hamiltonian reductions of Weyl algebras…
The nil-Brauer category
Jonathan Brundan, Weiqiang Wang, Ben Webster
We introduce the nil-Brauer category and prove a basis theorem for its morphism spaces. This basis theorem is an essential ingredient required to prove that nil-Brauer categorifies…