  Supersymmetric flat directions allow a generic counterexample to the
phenomenon of symmetry restoration at high temperatures. We show that
(exponentially) large VEVs can be developed along these directions through
temperature-induced `dimensional transmutation'. A minimum with broken gauge
charges (e.g. electric charge) can exist at arbitrarily high temperatures. In
such a scenario magnetic monopoles are never formed, independent of whether
inflation occurs before or after the GUT phase transition, or whether it occurs
at all.
