Reconstruction of deformed defects in field theory from deformed zero modes and applications

We reconstruct some nonlinear models in field theory involving a self-interacting scalar field in 1+1 space-time dimensions. Such a reconstruction is based on previous methods which employ the zero-mode solution of the excitation spectra of defects as the starting point. Here, we split the zero-mode solutions which turn out to be associated to split defects (split domain walls). The models which engender those kind of defects may be used to describe critical phenomena as domain wall splitting and the formation of a wetting phase in some ferroelectric and paramagnetic materials. We explore the applicability of the models also in the description of brane splitting in AdS brane scenarios.