Yanagawa's radicality conjecture for Specht ideals

Fix a positive integer $n$, a field ${\mathbb F}$, and let $R={\mathbb F}[x_1,\ldots,x_n]$. For a partition $\lambda\vdash n$, let $\mathfrak{a}(\lambda)$ denote the Specht ideal generated by the Specht polynomials associated with tableaux of shape $\lambda$. Yanagawa's conjecture. Over any field ${\mathbb F}$, and for any partition $\lambda$, the Specht ideal $\mathfrak{a}(\lambda)$ is radical. This conjecture asks whether Specht ideals are radical without any restriction on the characteristic of the field or on the partition.