On Dubrovin Topological Field Theories

Details On Dubrovin Topological Field Theories On Dubrovin Topological Field Theories

1993-12-30

arxiv.org/abs/hep-th/9312209v1

Mod.Phys.Lett.A9:749-760,1994

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1142/S0217732394000563

I show that the new topological field theories recently associated by Dubrovin with each Coxeter group may be all obtained in a simple way by a ``restriction'' of the standard ADE solutions. I then study the Chebichev specializations of these topological algebras, examine how the Coxeter graphs and matrices reappear in the dual algebra and mention the intriguing connection with the operator product algebra of conformal field theories. A direct understanding of the occurrence of Coxeter groups in that context is highly desirable.

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