For the Lee-Yang series of minimal Liouville gravity, the four Frobenius and spectral-curve descriptions agree at genus zero after one per-insertion factor, and the resonance map is a tree-level Kontsevich frame change.
Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We use the connection between the Frobrenius manifold and the Douglas string equation to further investigate Minimal Liouville gravity. We search a solution of the Douglas string equation and simultaneously a proper transformation from the KdV to the Liouville frame which ensure the fulfilment of the conformal and fusion selection rules. We find that the desired solution of the string equation has explicit and simple form in the flat coordinates on the Frobenious manifold in the general case of (p,q) Minimal Liouville gravity.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
An explicit four-corner dictionary for (2,p) minimal Liouville gravity
For the Lee-Yang series of minimal Liouville gravity, the four Frobenius and spectral-curve descriptions agree at genus zero after one per-insertion factor, and the resonance map is a tree-level Kontsevich frame change.