  The correspondence between del Pezzo surfaces and field theory models over
the complex numbers or for split real forms is extended to other real forms, in
particular to those compatible with supersymmetry. Specifically, all theories
of the Magic triangle that reduce to the pure supergravities in four dimensions
correspond to singular real del Pezzo surfaces and the same is true for the
Magic square of N=2 SUGRAS. A real del Pezzo surface is the invariant set under
an antilinear involution of a complex one. This conjugation induces an
involution of the Picard group that preserves the anticanonical class and the
intersection form. The known non-split U-duality algebras are embedded into
superBorcherds algebras defined by their Cartan matrix (minus the intersection
form) and fixed by the anti-involution. These data may be described by
Tits-Satake bicoloured diagrams. As in the split case, oxidation results from
blowing down disjoint real P^1's of self-intersection -1. The singular del
Pezzo surfaces of interest are obtained by degenerating regular surfaces upon
contraction of real curves of self-intersection -2. We use the finite
classification of real simple singularities to exhibit the relevant normal
surfaces. We also give a general construction of more magic triangles like a
type I split magic triangle and prove their (approximate) symmetry with respect
to their diagonal, this symmetry argument was announced in our previous paper
for the split case.
