Limiting metric conjecture for mathfrak{sl}(2)-type symplectic Higgs bundles

Let $(E,\Phi,\omega) \in \M_{\Sp(2n,\C)}(X,K)$ be a symplectic Higgs bundle with irreducible spectral curve of $\sl(2)$-type. Let $h_t$ solve the rescaled Hitchin equation

$$F_{h_t}+t^2[\Phi\wedge\Phi^{*{h_t}}]=0, \quad t \in \R_+.$$

Limiting metric conjecture. The solution $h_{dc}(E,\Phi,\omega)$ to the decoupled Hitchin equation is a limiting metric: $h_t$ converges to $h_\infty$ in $C^\infty$ on every compact subset of $X\setminus Z(\disc_\sp(E,\Phi,\omega))$ as $t\rightarrow\infty$.

The conjecture asserts that the explicitly constructed decoupled solution describes the large-$t$ limit away from the discriminant locus. The local models at the relevant singularities are known to be approximated by results for $\SL(2,\C)$ and regular Hitchin fibres, but the global limiting statement is not established in the source.