# D-branes and matrix factorisations in supersymmetric coset models

Nicolas Behr (AEI Golm)

08.07.2010 at 16:15

In the first part of the talk, results of arxiv:1005.2117 (N.B. and S. Fredenhagen) are
presented. The main result of this paper is a (partial) correspondence between D-branes in
the SU(3)_k/U(2) Kazama-Suzuki models with B-type boundary conditions and matrix
factorizations of the corresponding Landau-Ginzburg models, which for the SU(2)_k/U(1)
models (A_n-type minimal models) has been shown to exist by Kapustin and Li in 2003.
The presentation will include a short introduction to the explicit construction of both of these
theories and explain in which sense there exists a correspondence.
In the second part of the talk, ideas and preliminary results are presented for improving the
correspondence to a full match of B-type D-branes to matrix factorizations for these models.
The approach is based on the use of certain topological defects to generate the relevant
matrix factorizations.

Arnold Sommerfeld Center

Theresienstrasse 37

Room 348/349