Extended affine Weyl groups and Frobenius manifolds

Details Extended affine Weyl groups and Frobenius manifolds Extended affine Weyl groups and Frobenius manifolds

1996-11-24

arxiv.org/abs/hep-th/9611200v2

Compositio Mathematica 111 (1998), 167--219

Physics

High Energy Physics

High Energy Physics - Theory

69 pages, amslatex, some references added, position of Table 1 is corrected. Revised version for Compositio Mathematica

Scientific paper

We define certain extensions of affine Weyl groups (distinct from these considered by K. Saito [S1] in the theory of extended affine root systems), prove an analogue of Chevalley theorem for their invariants, and construct a Frobenius structure on their orbit spaces. This produces solutions $F(t_1, ..., t_n)$ of WDVV equations of associativity polynomial in $t_1, ..., t_{n-1}, \exp t_n$.

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