Dubrovin–Zhang identification with the universal Whitham hierarchy

Let $M$ be a semisimple Frobenius manifold, let its Dubrovin–Zhang integrable hierarchy be the hierarchy associated with $M$, and let the spectral curve of $M$ be constructed using Dubrovin's potential function. Let the universal Whitham hierarchy associated with that spectral curve be the corresponding Whitham hierarchy. Dubrovin–Zhang identification conjecture. The Dubrovin-Zhang integrable hierarchy associated with a semisimple Frobenius manifold can be identified with the universal Whitham hierarchy associated to the spectral curve of the Frobenius manifold constructed using Dubrovin's potential function. The conjecture proposes a common integrable-hierarchical description for partition functions arising from theories such as Gromov–Witten theory and Saito's theory of primitive forms; the source does not report a general proof.