  We introduce a new disordered system, the Super-Potts model, which is a more
frustrated version of the Potts glass. Its elementary degrees of freedom are
variables that can take M values and are coupled via pair-wise interactions.
Its exact solution on a completely connected lattice demonstrates that for
large enough M it belongs to the class of mean-field systems solved by a one
step replica symmetry breaking Ansatz. Numerical simulations by the parallel
tempering technique show that in three dimensions it displays a
phenomenological behaviour similar to the one of glass-forming liquids. The
Super-Potts glass is therefore the first long-sought disordered model allowing
one to perform extensive and detailed studies of the Random First Order
Transition in finite dimensions. We also discuss its behaviour for small values
of M, which is similar to the one of spin-glasses in a field.
