%0 Report
%D 2015
%T Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials
%A Boris Dubrovin
%A Ian A.B. Strachan
%A Youjin Zhang
%A Dafeng Zuo
%X 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.
%I SISSA
%G en
%U http://preprints.sissa.it/handle/1963/35316
%1 35625
%2 Mathematics
%4 1
%# MAT/07
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2018-05-23T10:53:54Z
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%0 Journal Article
%D 2014
%T Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy
%A Chaozhong Wu
%A Dafeng Zuo
%X 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.
%I Elsevier
%G en
%U http://urania.sissa.it/xmlui/handle/1963/35026
%1 35264
%2 Mathematics
%4 1
%$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-11-17T10:32:31Z
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%R 10.1016/j.aim.2014.01.013