Ed Segal, Imperial College
Title: Non-abelian GLSMs and Homological Projective Duality for Pfaffians
Abstract: Gauged linear sigma models with abelian gauge groups have been exhaustively studied, they provide a physical way to access complete intersections in a toric variety. Models with non-abelian gauge groups are more difficult, but they can allow us to access more interesting varieties.
Hori has conjectured a duality between certain pairs of non-abelian GLSMs related to Pfaffian varieties. I'll discuss the interpretation - and proof - of this duality for categories of B-branes. I'll then explain why this implies Kuznetsov's Homological Projective Duality for (certain non-commutative resolutions of) these varieties. This is joint work with Joergen Rennemo.