Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives

TL;DR

The paper presents a method to derive the CIV-DV prepotential as a power series in S_i using derivatives with respect to Whitham moduli, with explicit calculations and checks of WDVV equations.

Contribution

It introduces an efficient, algorithmic approach to compute the CIV-DV prepotential via derivatives with respect to Whitham moduli, simplifying higher-order extensions.

Findings

Explicit calculation of leading terms in the power series expansion.

Verification of WDVV equations at leading order.

Method's extension to higher orders is straightforward and systematic.

Abstract

We describe an expedient way to derive the CIV-DV prepotential in power series expansion in S_i. This is based on integrations of equations for its derivatives with respect to additional (Whitham) moduli T_m. For illustrative purposes, we calculate explicitly the leading terms of the expansion and explicitly check some components of the WDVV equations to the leading order. Extension to any higher order is simple and algorithmic.