p > 2 spin glasses with first-order ferromagnetic transitions

We consider an infinite-range spherical p-spin glass model with an addition al r-spin ferromagnetic interaction, both statically using a replica analys is and dynamically via a generating functional method. For r > 2 we find th at there are first-order transitions to ferromagnetic phases. For r < p the re are two ferromagnetic phases, one non-glassy replica symmetric and one e xhibiting glassy one-step replica symmetry breaking and ageing; whereas for r greater than or equal to p only the replica symmetric phase exists.