On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential

TL;DR

This paper investigates the properties of the CIV-DV prepotential in N=1 SU(n) SYM theory at the superpotential extremum, establishing a specific relation involving derivatives of the prepotential.

Contribution

It proves a new relation for the CIV-DV prepotential at the superpotential extremum, enhancing understanding of its mathematical structure.

Findings

Derived a relation: 2F - S dF/dS = - 2 u_2 Lambda^{2n} / (n^2 - 1)

Clarified the behavior of the prepotential at the extremum of the superpotential

Provided insights into the mathematical properties of the CIV-DV prepotential

Abstract

We consider CIV-DV prepotential F for N=1 SU(n) SYM theory at the extremum of the effective superpotential and prove the relation $2F-S dF/dS = - 2 u_2 Lambda^2n /(n^2-1)$