The WDVV solution E8(a1)

Yassir Dinar; Jiro Sekiguchi

doi:10.1016/j.geomphys.2021.104388

The WDVV solution E₈(a₁)

Yassir Dinar^*, Jiro Sekiguchi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	104388
Journal	Journal of Geometry and Physics
Volume	170
DOIs	https://doi.org/10.1016/j.geomphys.2021.104388
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

Access to Document

10.1016/j.geomphys.2021.104388

Cite this

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title = "The WDVV solution E8(a1)",

abstract = "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.",

keywords = "Classical W-algebras, Drinfeld-Sokolov reduction, Frobenius manifolds, Slodowy slice",

author = "Yassir Dinar and Jiro Sekiguchi",

note = "Funding Information: The first author thanks B. Dubrovin for useful discussions. This work was done primarily during the first author postdoctoral fellowship at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. The second author thanks J. Michel and T. Douvropoulos for guiding him in the conjecture of Dubrovin and useful discussions on this topic. This work was partially supported by JSPS KAKENHI Grant Number 17K05269 . Publisher Copyright: {\textcopyright} 2021",

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