D-Branes in gauged linear sigma models

by Herbst, M. (DESY)

Monday 23 Jan 2006, 14:00 → 15:00 Europe/Zurich

1/1-025 (CERN)

In the large radius limit of a compact Calabi-Yau manifold, it is quite well known that B-type supersymmetric D-branes are realized geometrically as holomorphic bundles over holomorphic submanifolds. As soon as we go in the Kähler moduli space to finite radius, instanton corrections blur the geometrical notion of D-branes. Deep in the non-perturbative region, at the Gepner point, B-type D-branes are realized through matrix factorization of the LG-potential. In this talk I give a realization of B-type D-branes over the full Kähler moduli space in terms of gauged linear sigma models. This allows us to identify geometric D-branes on a Calabi-Yau with matrix factorizations of the associated LG-model beyond K-theory.

Note: Please note unusual day and place!