  A p-spin interaction Ashkin-Teller spin glass, with three independent
Gaussian probability distributions for the exchange interactions, is studied by
means of the replica method. A simple phase diagram is obtained within the
replica-symmetric approximation, presenting an instability of the paramagnetic
solution at low temperatures. The replica-symmetry-breaking procedure is
implemented and a rich phase diagram is obtained; besides the paramagnetic
phase, three distinct spin-glass phases appear. Three first-order critical
frontiers are found and they all meet at a triple point; among such lines, two
of them present discontinuities in the order parameters, but no latent heat,
whereas the other one exhibits both discontinuities in the order parameters and
a finite latent heat.
