On the geometry of V-systems

Details On the geometry of V-systems On the geometry of V-systems

2007-10-30

arxiv.org/abs/0710.5729v1

Physics

Mathematical Physics

18 pages, 1 figure

Scientific paper

We consider a complex version of the $\vee$-systems, which appeared in the
theory of the WDVV equation. We show that the class of these systems is closed
under the natural operations of restriction and taking the subsystems and study
a special class of the $\vee$-systems related to generalized root systems and
basic classical Lie superalgebras.

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