3 papers
math.RT2026
The Saito determinant for extended affine Weyl discriminant strata
Andrea Brini, Karoline van Gemst
We investigate the form of the Saito metric on quotients of the reflection representation of an extended affine Weyl group, restricted to an arbitrary stratum of its discriminant.…
math-ph2026
Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Alessandro Proserpio, Karoline van Gemst
In arXiv:1711.05958, arXiv:2103.12673, the authors derive one-dimensional Landau-Ginzburg mirrors of Dubrovin-Zhang Frobenius manifolds constructed on regular orbit spaces of an ex…
math-ph2026
Gibbons-Tsarev type systems and Eventual identities
Alessandro Arsie, Paolo Lorenzoni, Sara Perletti +1
We show that non-diagonalisable reductions of the dKP equation associated with regular non-semisimple -manifolds cannot exist. The proof is based on the derivation and study of…