Supersymmetric branes in the plane wave background with additional constant magnetic fields are studied from the world-sheet point of view. It is found that in contradistinction to flat space, boundary condensates on some maximally supersymmetric branes necessarily break at least some supersymmetries. The maximally supersymmetric cases with condensates are shown to be in one to one correspondence with the previously classified class II branes. * mattik@itp.phys.ethz.ch

We construct a boundary Lagrangian for the N = 2 supersymmetric sine-Gordon model which preserves (B-type) supersymmetry and integrability to all orders in the bulk coupling constant g. The supersymmetry constraint is expressed in terms of matrix factorisations. * mattik@phys.ethz.ch

We construct branes in the plane wave background under the inclusion of fermionic boundary fields. The resulting deformed boundary conditions in the bosonic and fermionic sectors give rise to new integrable and supersymmetric branes of type (n, n). The extremal case of the spacetime filling (4, 4)-brane is shown to be maximally spacetime supersymmetric. * mattik@phys.ethz.ch

No abstract