  We implement soft leptogenesis in a warped five dimensional scenario with two
branes on the orbifold boundaries coming from an S^{1}/Z_{2} symmetry, and
supersymmetry broken on the IR brane. The SM hypermultiplet fields (fermions
and Higgs) live in the UV brane and we allow the vector supermultiplets
corresponding to the gauge bosons and a hypermultiplet corresponding to the
right handed neutrino to live in the bulk. We assume that there are Majorana
mass terms for the right handed neutrino superfield fixed on each brane and
that there is a Yukawa term involving the right handed neutrino, the left
handed neutrino and the Higgs fixed on the UV brane. Supersymmetry is broken by
a constant ``superpotential'' on the IR brane, which induces an F-term for the
radion hypermultiplet. This F-term leads to a B-term for the right handed
sneutrinos as well as a soft SUSY breaking gaugino mass in the 4D theory for
the zero modes. The gaugino mass naturally induces an A-term for the right
handed sneutrino, left handed sneutrino and the Higgs to be formed through
gaugino mediation with a non-trivial CP violating phase. Moreover, we show that
within the context of extra dimensions, the condition of out-of-equilibrium
decay and the phenomenological constraints on the neutrino mass are both
satisfied in a natural way, for UV Majorana masses of the order of the
fundamental scale of the theory. Thus all necessary elements for soft
leptogenesis are at hand and we are able to predict a correct value for the
baryon asymmetry.
