Representations of the orthosymplectic Lie superalgebra \mathfrak{osp}(1|4) and paraboson coherent states

We introduce and obtain two-mode paraboson coherent states. In appropriate subspaces these coherent states provide a decomposition of unity where the measure, when expressed using the cat-type states, is positive definite. Bicoherent states where the mutually commuting lowering operators are diagonalized are also obtained. Matrix elements in the coherent state basis are calculated.