On the WDVV equations in five-dimensional gauge theories

TL;DR

This paper investigates whether the perturbative prepotentials of five-dimensional N=2 supersymmetric gauge theories satisfy the WDVV equations, extending known results from four-dimensional theories to higher dimensions.

Contribution

It analyzes the perturbative prepotentials of five-dimensional gauge theories for classical groups to determine their compliance with the WDVV equations.

Findings

Prepotentials for certain classical groups satisfy the WDVV equations.

Extension of WDVV equation applicability from 4D to 5D gauge theories.

Insights into the structure of 5D supersymmetric gauge theories.

Abstract

It is well-known that the perturbative prepotentials of four-dimensional N=2 supersymmetric Yang-Mills theories satisfy the generalized WDVV equations, regardless of the gauge group. In this paper we study perturbative prepotentials of the five-dimensional theories for some classical gauge groups and determine whether or not they satisfy the WDVV system.