Majorana fermions are by definition fermions which are their own antiparticles, i.e. the do have spin and it's 1/2. An introduction to these fermions can be for example found here: http://arxiv.org/abs/0806.1690. In contrast bosons are their own antiparticles, e.g. photons, i.e. one does not need a "Majorana-boson" definition.
Now, one has to say that these Majorana fermions have not been observed in nature except as quasiparticle excitations in seminconductors.
This post imported from StackExchange Physics at 2014-04-15 16:37 (UCT), posted by SE-user A friendly helper