Frobenius manifolds from subregular classical W-algebras

Yassir Ibrahim Dinar

doi:10.1093/imrn/rns121

Frobenius manifolds from subregular classical W-algebras

Yassir Ibrahim Dinar^*

^*Corresponding author for this work

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

6 Citations (Scopus)

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 subvarieties in the total spaces of semiuniversal deformation of simple hypersurface singularities of the same types.

Original language	English
Pages (from-to)	2822-2861
Number of pages	40
Journal	International Mathematics Research Notices
Volume	2013
Issue number	12
DOIs	https://doi.org/10.1093/imrn/rns121
Publication status	Published - Jan 1 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1093/imrn/rns121

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title = "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 Dr (where r is even) and Er. The resulting Frobenius manifolds are certain subvarieties in the total spaces of semiuniversal deformation of simple hypersurface singularities of the same types.",

author = "Dinar, {Yassir Ibrahim}",

note = "Funding Information: The author thanks B. Dubrovin for useful discussions. This work was done primarily during the author{\textquoteright}s postdoctoral fellowship at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy.",

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N2 - We obtain algebraic Frobenius manifolds from classical W-algebras associated to subregular nilpotent elements in simple Lie algebras of type Dr (where r is even) and Er. The resulting Frobenius manifolds are certain subvarieties in the total spaces of semiuniversal deformation of simple hypersurface singularities of the same types.

AB - We obtain algebraic Frobenius manifolds from classical W-algebras associated to subregular nilpotent elements in simple Lie algebras of type Dr (where r is even) and Er. The resulting Frobenius manifolds are certain subvarieties in the total spaces of semiuniversal deformation of simple hypersurface singularities of the same types.

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Frobenius manifolds from subregular classical W-algebras

Abstract

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