Phases of N = 2 theories in 1+ 1 dimensions with boundary

by Hori, K. (Univ. Toronto)

Tuesday 27 Jun 2006, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

We provide precise maps of B-type D-branes between various extremes ("phases") in the Kahler moduli space, such as the large volume Calabi-Yau regime and the (Landau-Ginzburg) orbifold points. We use a linear sigma model to find the maps. An important role is played by a simple gauge dynamics in 1+1 dimensions with boundary. As a mathematical consequence, the maps provide equivalences of 'categories of D-branes' in the respective phases, such as the derived category of coherent sheaves on the Calabi-Yau for one, and the homotopy category of matrix factorizations for another. This is a joint work with Manfred Herbst and David Page.