Deconstruction of unparticles

We discuss properties of hypothetical scale invariant (unparticle) matter by viewing it as a tower of massive particles. We show how peculiar properties of unparticles emerge in the limit when the mass spacing parameter {delta} vanishes. We explain why the unparticle cannot decay in this limit and how, for finite {delta}, the decays manifest themselves in a relation between the reconstructed invariant mass and vertex displacement. We describe a model field theory in AdS{sub 5} which explicitly implements the deconstruction procedure by truncating the extra dimension to size of order 1/{delta}.