Fields Group superspace harmonic-generation conjecture

Let $d_j:\Omega_n\to\Omega_n$ be defined for $j\geq1$ by

$$d_j(f)=\sum_{i=1}^n\theta_i\frac{\partial^j f}{\partial x_i^j},$$

and let $\delta_n\in\mathbb{C}[x_1,\dots,x_n]$ be the Vandermonde determinant. Let $SR_n$ be the superspace coinvariant algebra and identify its harmonic space with the orthogonal complement of its defining ideal. Fields Group harmonic-generation conjecture. The harmonic space of $SR_n$ is generated by the $2^{n-1}$ elements

$$d_1^{\epsilon_1}d_2^{\epsilon_2}\cdots d_{n-1}^{\epsilon_{n-1}}(\delta_n),$$

where each $\epsilon_i\in\{0,1\}$. These elements are known to be harmonic, but the claimed generation and the resulting structure remain unresolved in the source.