We obtain scaling and local limit results for large random multirectangular Young tableaux via the asymptotic analysis of a determinantal point process due to Gorin and Rahman (2019). In particular, we find an explicit description of the limiting surface, based on solving a complex-valued polynomial equation. As a consequence, we find a simple criteria to determine if the limiting surface is continuous in the whole domain, implying that, for multirectangular tableaux, the limiting surface is generically
discontinuous.
This is an extended abstract of this article, submitted elsewhere for publication.