155 citations · 1.4k across the 67 of their papers we have counts for
6 papers · 1 filter
3-dimensional mirror symmetry
Ben Webster, Philsang Yoo
This expository article discusses recent advances in understanding 3-dimensional mirror symmetry and the mathematical definitions of the Higgs and Coulomb branches. This is a sligh…
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…
On the representation theory of Schur algebras in type
Dinushi Munasinghe, Ben Webster
We study the representation theory of the type B Schur algebra with unequal parameters introduced in work of Lai, Nakano and Xiang. For generic values of ,…
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…
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…
RoCK blocks for affine categorical representations
Ben Webster
Given a categorical action of a Lie algebra, a celebrated theorem of Chuang and Rouquier proves that the blocks corresponding to weight spaces in the same orbit of the Weyl group a…