Second order reductions of the WDVV Equations related to classical Lie algebras

TL;DR

This paper develops second order reductions of the WDVV equations linked to classical Lie algebras, analyzing symmetry preservation and contributing to the understanding of integrable systems.

Contribution

It introduces new second order reductions of the WDVV equations associated with classical Lie algebras, exploring symmetry properties and their implications.

Findings

Reduction preserves certain symmetries of the original WDVV system

Constructs explicit second order reduced systems

Provides insights into Lie algebra connections with integrable equations

Abstract

We construct second order reductions of the generalized Witten-Dijkgraaf-Verlinde-Verlinde system based on simple Lie algebras. We discuss to what extent some of the symmetries of the WDVV system are preserved by the reduction.