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2007

On the geometry of V-systems

Feigin, M., Veselov, A. P.

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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.

On the geometry of V-systems · Around

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B. Dubrovin Geometry of 2D topological field theories
1996
Earlier work this paper cites.
A. Marshakov, A. Mironov, and A. Morozov WDVV-like equations in N = 2 N=2 SUSY Yang-Mills theory
1996
Earlier work this paper cites.
V. Serganova On generalizations of root systems
1996
Earlier work this paper cites.
A.P. Veselov Deformations of root systems and new solutions to generalised WDVV equations
1999
Earlier work this paper cites.

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A.P. Veselov On geometry of a special class of solutions to generalised WDVV equations
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Then

B. Dubrovin On almost duality for Frobenius manifolds
2004
Later among the works it cites.
A. N. Sergeev, A. P. Veselov Deformed quantum Calogero-Moser systems and Lie superalgebras
2004
Later among the works it cites.
M. Feigin On the logarithmic solutions of the WDVV equations
2006
Later among the works it cites.
M.V. Feigin, A.P. Veselov Logarithmic Frobenius structures and Coxeter discriminants
2007
Closest in time.

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