Seminar by Stefan Fredenhagen

Stefan Fredenhagen (University of Vienna) will give the following seminar in the room Penrose of the building B4:

Fusion of interfaces in Landau-Ginzburg models in a functorial approach

Interfaces between two-dimensional field theories provide an interesting algebraic structure because of the possibility to fuse them. I discuss interfaces in N=(2,2) supersymmetric Landau-Ginzburg models where B-type interfaces can be represented as matrix factorisations and their fusion by a graded tensor product. Fusing a fixed interface to any other gives rise to a functor on the category of matrix factorisations. In many important cases this functor can be lifted to a functor on the category of ring modules. Such fusion functors are on the one hand efficient tools to actually compute fusion of interfaces in examples, and on the other hand provide an alternative way of representing interfaces in which the algebraic structure of fusion becomes more apparent.