  Recent experiments on URu2Si2 show that the low-pressure hidden order is
non-magnetic but it breaks time reversal invariance. Restricting our attention
to local order parameters of 5f2 shells, we find that the best candidate for
hidden order is staggered order of either Tz(beta) or Txyz octupoles. Group
theoretical arguments for the effect of symmetry-lowering perturbations
(magnetic field, mechanical stress) predict behavior in good overall agreement
with observations. We illustrate our general arguments on the example of a
five-state crystal field model which differs in several details from models
discussed in the literature. The general appearance of the mean field phase
diagram agrees with the experimental results. In particular, we find that a) at
zero magnetic field, there is a first-order phase boundary between octupolar
order and large-moment antiferromagnetism with increasing hydrostatic pressure;
b) arbitrarily weak uniaxial pressure induces staggered magnetic moments in the
octupolar phase; and c) a new phase with different symmetry appears at large
magnetic fields.
