Phases of N = 2 theories in two dimensions with boundary

by Manfred Herbst

Tuesday 24 Oct 2006, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

The phase structure of N=2 gauged linear sigma models (GLSMs) is re-examined in the presence of world sheet boundaries. The boundary conditions are chosen to preserve B-type supersymmetry. The advantage of this approach to model (topological) B-branes in the IR superconformal field theory lies in the explicit Kahler moduli dependence of the GLSM. This allows us to transport B-branes along any path in (quantum) Kähler moduli space and, thus, to identify branes in different corners of moduli space. In particular, the GLSM represents a physical description of (generalized) McKay correspondence, or the equivalence of the categories of B-branes on CY-manifolds and matrix factorizations in Landau-Ginzburg models.