Solutions of $B{C}_n$ Type of WDVV Equations

Abstract

We give a family of solutions of Witten-Dijkgraaf-Verlinde-Verlinde equations in $n$-dimensional space. It is defined in terms of $B{C}_n$ root system and $n+2$ independent multiplicity parameters. We also apply these solutions to define some $\mathcal{N}=4$ supersymmetric mechanical systems.

16 pages

References in corpus (3)

• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
• On the geometry of V-systems