Fermionic reformulation of the Dubrovin–Zhang hierarchy

Let $M$ be a semisimple Frobenius manifold, and let its Dubrovin–Zhang integrable hierarchy be the associated hierarchy. Dubrovin–Zhang fermionic reformulation conjecture. There is a fermionic reformulation of the Dubrovin-Zhang integrable hierarchy for semisimple Frobenius manifolds. This is presented as a specialization of the preceding fermionic-reformulation proposal and would provide a fermionic description of the hierarchies attached to semisimple Frobenius manifolds; the source gives no general resolution.