Generalized WDVV equations for F4 pure N=2 Super-Yang-Mills theory

TL;DR

This paper constructs an associative algebra related to pure N=2 Super-Yang-Mills theory for F4, demonstrating that its prepotential satisfies the generalized WDVV equations, thus extending the mathematical framework of the theory.

Contribution

It introduces a new associative algebra of holomorphic forms for F4 gauge theory and proves the prepotential satisfies generalized WDVV equations, linking algebraic structures to physical theory.

Findings

Existence of an associative algebra for F4 theory

Prepotential satisfies generalized WDVV equations

Extension of algebraic methods to F4 gauge symmetry

Abstract

An associative algebra of holomorphic differential forms is constructed associated with pure N=2 Super-Yang-Mills theory for the Lie algebra F4. Existence and associativity of this algebra, combined with the general arguments in the work of Marshakov, Mironov and Morozov, proves that the prepotential of this theory satisfies the generalized WDVV system.