A cardinal $\kappa$ is a *PFA cardinal* if $\kappa$ is not zero and the canonical forcing of the PFA of length $\kappa$, which is the countable support iteration that at each stage $\gamma$ forces with the lottery sum of all minimal-rank proper partial orders $\mathbb{Q}$ for which there is a family $\cal{D}$ of $\omega_1$ many dense sets in $\mathbb{Q}$ for which there is no filter in $\mathbb{Q}$ meeting them, forces PFA. Every supercompact cardinal is a PFA cardinal. It is not yet clear whether the converse is true. Viale and Weiß have shown that an inaccessible PFA cardinal $\kappa$ for which the canonical forcing of the PFA makes $\kappa$ become $\omega_2$ is supercompact. {% cite Viale2011 %}