Nicolas Behr (AEI Golm)
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
Arnold Sommerfeld Center