Seiberg-Witten theory for a non-trivial compactification from five to four dimensions

TL;DR

This paper explores a novel compactification from five to four dimensions in supersymmetric Yang-Mills theory, revealing new solutions to the generalized WDVV equations and connecting different supersymmetry regimes.

Contribution

It introduces a new interpolation framework between N=4 and N=2 SUSY Yang-Mills theories via non-trivial boundary conditions in five dimensions.

Findings

Describes the prepotential and spectral curve for the interpolation

Provides a new solution to the generalized WDVV equations

Shows this solution exhausts all solutions of a certain form

Abstract

The prepotential and spectral curve are described for a smooth interpolation between an enlarged N=4 SUSY and ordinary N=2 SUSY Yang-Mills theory in four dimensions, obtained by compactification from five dimensions with non-trivial (periodic and antiperiodic) boundary conditions. This system provides a new solution to the generalized WDVV equations. We show that this exhausts all possible solutions of a given functional form.