paper

Matrix factorisations and permutation branes

arXiv:hep-th/0503207 · doi:10.1088/1126-6708/2005/07/012

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.

50 pages, latex, no figures, references added, typos and minor mistakes corrected,notation made consistent, small error above (4.26) corrected

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