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Matrix factorisations and permutation branes

Ilka Brunner, Matthias R. Gaberdiel

hep-tharXiv:hep-th/0503207

Abstract

The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane for a number of Gepner models are described by permutation boundary states. In some cases (including the quintic) the images of the D2-brane under the Gepner monodromy generate the full charge lattice.

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