  The same complex matrix model calculates both tachyon scattering for the c=1
non-critical string at the self-dual radius and certain correlation functions
of half-BPS operators in N=4 super-Yang-Mills. It is dual to another complex
matrix model where the couplings of the first model are encoded in the
Kontsevich-like variables of the second. The duality between the theories is
mirrored by the duality of their Feynman diagrams. Analogously to the Hermitian
Kontsevich-Penner model, the correlation functions of the second model can be
written as sums over discrete points in subspaces of the moduli space of
punctured Riemann surfaces.
