  We examine the lattice boundary formulation of chiral fermions with either an
explicit Majorana mass or a Higgs-Majorana coupling introduced on one of the
boundaries. We demonstrate that the low-lying spectrum of the models with an
explicit Majorana mass of the order of an inverse lattice spacing is chiral at
tree level. Within a mean-field approximation we show that the systems with a
strong Higgs-Majorana coupling have a symmetric phase, in which a Majorana mass
of the order of an inverse lattice spacing is generated without spontaneous
breaking of the gauge symmetry. We argue, however, that the models within such
a phase have a chiral spectrum only in terms of the fermions that are singlets
under the gauge group. The application of such systems to nonperturbative
formulations of supersymmetric and chiral gauge theories is briefly discussed.

High Energy Physics - Lattice;High Energy Physics - Theory