Frobenius manifolds from regular classical W-algebras

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Abstract

We obtain polynomial Frobenius manifolds from classical W-algebras associated to regular nilpotent elements in simple Lie algebras using the related opposite Cartan subalgebras.

Original languageEnglish
Pages (from-to)5018-5040
Number of pages23
JournalAdvances in Mathematics
Volume226
Issue number6
DOIs
Publication statusPublished - Apr 1 2011

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Keywords

  • Bihamiltonian geometry
  • Classical W-algebras
  • Drinfeld-Sokolov reduction
  • Frobenius manifolds
  • Opposite Cartan subalgebra
  • Primary
  • Secondary
  • Slodowy slice

ASJC Scopus subject areas

  • Mathematics(all)

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