Frobenius manifolds associated to Coxeter groups of type E_7 and E_8

Details Frobenius manifolds associated to Coxeter groups of type E_7 and E_8 Frobenius manifolds associated to Coxeter groups of type E_7 and E_8

2009-10-28

arxiv.org/abs/0910.5453v1

Mathematics

Differential Geometry

13 pages

Scientific paper

Flat coordinates for Frobenius manifolds defined on the orbit space of a Coxeter group W are specified through a certain system of generators of W-invariant polynomials. In this note, starting from basic invariants proposed by M.Mehta, we calculate flat coordinates for the exceptional groups of type E_7 and E_8, leading to a derivation of the potentials for the associated Frobenius structures.

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