  The possible discovery of the Theta+ pentaquark has motivated a number of
studies of its nature using lattice QCD. While all the analyses thus far have
focussed on spin-1/2 states, here we report the results of the first
exploratory study in quenched lattice QCD of pentaquarks with spin 3/2. For the
spin-3/2 interpolating field we use a product of the standard N and K*
operators. We do not find any evidence for the standard lattice resonance
signature of attraction (i.e., binding at quark masses near the physical
regime) in the J^P = 3/2- channel. Some evidence of binding is inferred in the
isoscalar 3/2+ channel at several quark masses, in accord with the standard
lattice resonance signature. This suggests that this is a good candidate for
the further study of pentaquarks on the lattice.
