Frobenius manifolds associated to Coxeter groups of type E_7 and E_8
Differential Geometry
2009-10-29 v1
Abstract
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.
Cite
@article{arxiv.0910.5453,
title = {Frobenius manifolds associated to Coxeter groups of type E_7 and E_8},
author = {Devis Abriani},
journal= {arXiv preprint arXiv:0910.5453},
year = {2009}
}
Comments
13 pages