1 research outputs found
Brane transport in anomalous (2,2) models and localization
We study B-branes in two-dimensional N=(2,2) anomalous models, and their
behaviour as we vary bulk parameters in the quantum K\"ahler moduli space. We
focus on the case of (2,2) theories defined by abelian gauged linear sigma
models (GLSM). We use the hemisphere partition function as a guide to find how
B-branes split in the IR into components supported on Higgs, mixed and Coulomb
branches: this generalizes the band restriction rule of Herbst-Hori-Page to
anomalous models.
As a central example, we work out in detail the case of GLSMs for
Hirzebruch-Jung resolutions of cyclic surface singularities. In these
non-compact models we explain how to compute and regularize the hemisphere
partition function for a brane with compact support, and check that its Higgs
branch component explicitly matches with the geometric central charge of an
object in the derived category.Comment: 67 page