D-branes and matrix factorisations in supersymmetric coset models

Details D-branes and matrix factorisations in supersymmetric coset models D-branes and matrix factorisations in supersymmetric coset models

2010-05-12

arxiv.org/abs/1005.2117v1

JHEP 1011:136,2010

Physics

High Energy Physics

High Energy Physics - Theory

63 pages, 2 figures

Scientific paper

10.1007/JHEP11(2010)136

Matrix factorisations describe B-type boundary conditions in N=2 supersymmetric Landau-Ginzburg models. At the infrared fixed point, they correspond to superconformal boundary states. We investigate the relation between boundary states and matrix factorisations in the Grassmannian Kazama-Suzuki coset models. For the first non-minimal series, i.e. for the models of type SU(3)_k/U(2), we identify matrix factorisations for a subset of the maximally symmetric boundary states. This set provides a basis for the RR charge lattice, and can be used to generate (presumably all) other boundary states by tachyon condensation.

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