The WDVV solution E8(a1)

Yassir Dinar*, Jiro Sekiguchi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We calculate explicitly the quadratic solution to the WDVV equations that corresponds to the primitive conjugacy class E8(a1) by two different ways. The first one is using the associated classical W-algebra. The second one is solving the WDVV equation directly. Last we identify them by showing the coordinate transformation between them.

Original languageEnglish
Article number104388
JournalJournal of Geometry and Physics
Publication statusPublished - Dec 2021
Externally publishedYes


  • Classical W-algebras
  • Drinfeld-Sokolov reduction
  • Frobenius manifolds
  • Slodowy slice

ASJC Scopus subject areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


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