Several Special Solutions of Open WDVV Equations

TL;DR

This paper presents specific solutions to the open WDVV equations, an extension of the classical equations arising in topological field theory, contributing to the mathematical understanding of these complex structures.

Contribution

It provides new particular solutions to the open WDVV equations, expanding the set of known solutions in the context of topological field theories.

Findings

Derived explicit solutions to open WDVV equations

Enhanced understanding of open WDVV equation structure

Contributed to mathematical physics and topological field theory

Abstract

The Witten-Dijkgraaf-Verlinde-Verlinde(WDVV) equations appeared in the study of two-dimensional topological field theoies in the early 1990s. An extension of the WDVV equations, called the open WDVV equations, was introduced by A.Horev and J.P.Solomon (arXiv:1210.4034). In this paper, we give some particular solutions to the open WDVV equations.