TY - RPRT
T1 - Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials
Y1 - 2015
A1 - Boris Dubrovin
A1 - Ian A.B. Strachan
A1 - Youjin Zhang
A1 - Dafeng Zuo
AB - For the root systems of type Bl, Cl and Dl, we generalize the result of [7] by showing the existence of Frobenius manifold structures on the orbit spaces of the extended affine Weyl groups that correspond to any vertex of the Dynkin diagram instead of a particular choice made in [7]. It also depends on certain additional data. We also construct LG superpotentials for these Frobenius manifold structures.
PB - SISSA
UR - http://preprints.sissa.it/handle/1963/35316
U1 - 35625
U2 - Mathematics
U4 - 1
U5 - MAT/07
ER -
TY - JOUR
T1 - Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy
Y1 - 2014
A1 - Chaozhong Wu
A1 - Dafeng Zuo
AB - Following the approach of Carlet et al. (2011) [9], we construct a class of infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy, which are defined on the space of pairs of meromorphic functions with possibly higher-order poles at the origin and at infinity. We also show a connection between these infinite-dimensional Frobenius manifolds and the finite-dimensional Frobenius manifolds on the orbit space of extended affine Weyl groups of type A defined by Dubrovin and Zhang.
PB - Elsevier
UR - http://urania.sissa.it/xmlui/handle/1963/35026
U1 - 35264
U2 - Mathematics
U4 - 1
ER -