  The noncommutative selfdual \phi^3 model in 6 dimensions is quantized and
essentially solved, by mapping it to the Kontsevich model. The model is shown
to be renormalizable and asymptotically free, and solvable genus by genus. It
requires both wavefunction and coupling constant renormalization. The exact
(all-order) renormalization of the bare parameters is determined explicitly,
which turns out to depend on the genus 0 sector only. The running coupling
constant is also computed exactly, which decreases more rapidly than predicted
by the one-loop beta function. A phase transition to an unstable phase is
found.
