Frobenius manifolds from subregular classical $W$algebras
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 August 2011
 arXiv:
 arXiv:1108.5445
 Bibcode:
 2011arXiv1108.5445D
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Mathematics  Algebraic Geometry;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 37K25;
 17B80;
 14B07
 EPrint:
 26 pages, 3 tables