D-branes and matrix factorisations in supersymmetric coset models
High Energy Physics - Theory
2015-03-17 v1
Abstract
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.
Cite
@article{arxiv.1005.2117,
title = {D-branes and matrix factorisations in supersymmetric coset models},
author = {Nicolas Behr and Stefan Fredenhagen},
journal= {arXiv preprint arXiv:1005.2117},
year = {2015}
}
Comments
63 pages, 2 figures