3 papers
hep-th2025
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…
math.RT2025
Hypertoric 2-categories O and symplectic duality
Benjamin Gammage, Justin Hilburn
We define 2-categories of microlocal perverse (resp. coherent) sheaves of categories on the skeleton of a hypertoric variety and show that the generators of these 2-categories lift…
math.RT2025
Betti Tate's thesis and the trace of perverse schobers
Benjamin Gammage, Justin Hilburn
We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By provi…