Description
Abstract: Mapping of B-branes in SCFTs determined by the different phases of a non-anomalous gauged linear sigma model (GLSM) is a well established subject in physics and mathematics. From the point of view of the GLSM, a fundamental tool to determine such functors is the so-called grade restriction rule (GRR). When the axial R-symmetry is anomalous, this picture changes. Some such cases are understood in physics and mathematics as well. In this talk I will present a GLSM approach to understand how the GRR must be modified for the anomalous cases, for abelian models. I will illustrate this in simple cases, mainly Hirzebruch-Jung resolutions of A_n singularities.