The authors define integrable observables for cohomological field theories that retain integrability, recover Dubrovin-Zhang and double ramification hierarchies, introduce a new Π-class example, prove Miura equivalences among the resulting hierarchies, and supply a short new proof of Witten's 2D-grr
hub
Title resolution pending
4 Pith papers cite this work, alongside 1,145 external citations. Polarity classification is still indexing.
4
Pith papers citing it
1,145
external citations · Crossref
hub tools
years
2026 4representative citing papers
Lifting a semisimple cohomological field theory by a Frobenius algebra yields non-semisimple partial CohFTs whose DR hierarchies are bi-Hamiltonian, confirming the BRS21 conjecture in these new cases.
Proves Artemev's conjecture connecting resonance transformations for (2,2p+1) minimal strings to the x-y swap in topological recursion.
The authors prove Dubrovin, Liu, Yang, and Zhang's conjecture: for rank-one cohomological field theories, the Dubrovin-Zhang hierarchy has a constant Poisson bracket if and only if the underlying theory is a triple Hodge class with the Calabi-Yau condition.
citing papers explorer
-
Beyond descendants: integrable observables for cohomological field theories
The authors define integrable observables for cohomological field theories that retain integrability, recover Dubrovin-Zhang and double ramification hierarchies, introduce a new Π-class example, prove Miura equivalences among the resulting hierarchies, and supply a short new proof of Witten's 2D-grr
-
Lifts of partial cohomological field theories and examples of bi-Hamiltonian structures in the non-semisimple case
Lifting a semisimple cohomological field theory by a Frobenius algebra yields non-semisimple partial CohFTs whose DR hierarchies are bi-Hamiltonian, confirming the BRS21 conjecture in these new cases.
-
Resonance transformations for the $(2,2p+1)$ minimal string via $x-y$ swap: a proof of Artemev's conjecture
Proves Artemev's conjecture connecting resonance transformations for (2,2p+1) minimal strings to the x-y swap in topological recursion.
-
Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
The authors prove Dubrovin, Liu, Yang, and Zhang's conjecture: for rank-one cohomological field theories, the Dubrovin-Zhang hierarchy has a constant Poisson bracket if and only if the underlying theory is a triple Hodge class with the Calabi-Yau condition.