D-branes and matrix factorisations in supersymmetric coset models
arXiv:1005.2117 · doi:10.1007/JHEP11(2010)136
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.
63 pages, 2 figures
References in corpus (7)
- B-type defects in Landau-Ginzburg models
- Tachyon Condensation on the Elliptic Curve
- Generalised N=2 permutation branes
- Defect loops in gauged Wess-Zumino-Witten models
- Matrix Factorizations, D-Branes and their Deformations
- D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
- Boundary states, matrix factorisations and correlation functions for the E-models