We present the full phase diagram of the spherical 2+p spin glass model
with p≥4. The main outcome is the presence of a new phase with both
properties of Full Replica Symmetry Breaking (FRSB) phases of discrete models,
e.g, the Sherrington-Kirkpatrick model, and those of One Replica Symmetry
Breaking (1RSB). The phase, which separates a 1RSB phase from FRSB phase, is
described by an order parameter function q(x) with a continuous part (FRSB)
for x<m and a discontinuous jump (1RSB) at x=m. This phase has a finite
complexity which leads to different dynamic and static properties.Comment: 5 pages, 2 figure