Geometry of branes on supergroups Original Research Article

In this note we analyze the geometry of maximally symmetric boundary conditions in Lie supergroup Wess–Zumino–Novikov–Witten models. We find that generically the worldvolume of a brane is a twisted superconjugacy class, very much like in the Lie group case. Whenever the brane is not completely delocalized in the fermionic directions a new atypical class of branes arises. We give an example of these new branes and show for type I supergroups and trivial gluing conditions that they can be naturally associated with atypical representations of the affine Lie superalgebra.