Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations

We show that equivariant tilting modules over algebras induce equivalences of derived factorization categories. As an application, we the category a noncommutative resolution linear section Pfaffian variety is equivalent to gauged Landau-Ginzburg model $(\Lambda,\chi, w)^{\mathbb{G}_m}$, where $\Lambda$ quotient singularity $W/\operatorname{GSp}(Q)$ arising from certain representation $W$ symplectic similitude group $\operatorname{GSp}(Q)$ vector space $Q$.