Generalized strong DR/DZ equivalence conjecture

Let FDRF^{\mathrm{DR}} denote the DR potential and let FredF^{\mathrm{red}} denote the reduced potential associated to a cohomological field theory. Generalized strong DR/DZ equivalence conjecture. For an arbitrary cohomological field theory,

FDR=Fred.F^{\mathrm{DR}}=F^{\mathrm{red}}.

For semisimple CohFTs this is equivalent, according to the source, to the strong DR/DZ equivalence formulated via a normal Miura transformation. The generalized statement forgets the DZ hierarchy and asserts equality of the reduced and DR potentials for arbitrary CohFTs; its status is not resolved in the source.

Sources & referencesView supporting material

Primary source

Alexandr Buryak, Jérémy Guéré and Paolo Rossi, “DR/DZ equivalence conjecture and tautological relations”, arXiv:1705.03287 (2018).

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