Gaiotto's conformal limit conjecture for the Hitchin component

Let a Higgs bundle lie in the Hitchin component, and let its conformal limit be the flat connection obtained from the conformal-limit construction. An oper is a flat bundle satisfying the oper condition. Gaiotto's conformal limit conjecture. For any Higgs bundle in the Hitchin component, its conformal limit exists and is an oper. Moreover, the conformal-limit map gives a biholomorphism between the Hitchin component and the space of opers. This conjecture relates the Hitchin component to the oper locus through conformal limits and extends the correspondence between the Hitchin section and opers; its resolution status is not specified in the source.