Frobenius manifolds from subregular classical $W$-algebras

Details Frobenius manifolds from subregular classical $W$-algebras Frobenius manifolds from subregular classical $W$-algebras

2011-08-27

arxiv.org/abs/1108.5445v1

Mathematics

Differential Geometry

26 pages, 3 tables

Scientific paper

We obtain algebraic Frobenius manifolds from classical $W$-algebras
associated to subregular nilpotent elements in simple Lie algebras of type
$D_r$ where $r$ is even and $E_r$. The resulting Frobenius manifolds are
certain hypersurfaces in the total spaces of semiuniversal deformation of
simple hypersurface singularities of the same types.

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