  An interesting consequence of string dualities is that they reveal situations
where the geometry of a string background appears to be globally ill-defined, a
phenomenon usually referred to as non-geometry. On the other hand, string
theory contains extended objects with non-trivial monodromy around them, often
dubbed defect or exotic branes in co-dimension two. We determine and examine
the worldvolume actions and the couplings of certain such branes. In
particular, based on specific chains of T and S-dualities, we derive the DBI
and WZ actions, which describe the dynamics of type IIB fivebranes as well as
their couplings to the appropriate gauge potentials associated to mixed
symmetry tensors. Based on these actions we discuss how these branes act as
sources of non-geometric fluxes. In one case this flux is what is usually
termed Q flux, associated to a T-fold compactification, while in the S-dual
case a type of non-geometry related to the Ramond-Ramond sector is encountered.
