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

4 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

Mathematics(all)

Access to Document

10.1093/imrn/rns121

Cite this

@article{019a4f673c26453ca2943d0d92df4bf4,

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.",

year = "2013",

month = jan,

day = "1",

doi = "10.1093/imrn/rns121",

language = "English",

volume = "2013",

pages = "2822--2861",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "12",

}

TY - JOUR

T1 - Frobenius manifolds from subregular classical W-algebras

AU - Dinar, Yassir Ibrahim

N1 - Funding Information: The author thanks B. Dubrovin for useful discussions. This work was done primarily during the author’s postdoctoral fellowship at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy.

PY - 2013/1/1

Y1 - 2013/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84878832272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878832272&partnerID=8YFLogxK

U2 - 10.1093/imrn/rns121

DO - 10.1093/imrn/rns121

M3 - Article

AN - SCOPUS:84878832272

SN - 1073-7928

VL - 2013

SP - 2822

EP - 2861

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 12

ER -

Frobenius manifolds from subregular classical W-algebras

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this