Elliptic models and M-theory

TL;DR

This paper analyzes four-dimensional elliptic models with N=2 supersymmetry, explores their connection to M-theory, and computes Seiberg-Witten curves and prepotentials, revealing notable regularities and extending results to Sp(2N) gauge theories with arbitrary hypermultiplet masses.

Contribution

It provides a unified analysis of elliptic models with N=2 supersymmetry, explicitly calculates Seiberg-Witten curves, and extends prepotential calculations to Sp(2N) gauge theories with arbitrary hypermultiplet masses.

Findings

Explicit Seiberg-Witten curves derived

One-instanton prepotential computed

Prepotential regularities identified

Abstract

We give a unified analysis of four-dimensional elliptic models with N=2 supersymmetry and a simple gauge group, and their relation to M-theory. Explicit calculations of the Seiberg-Witten curves and the resulting one-instanton prepotential are presented. The remarkable regularities that emerge are emphasized. In addition, we calculate the prepotential in the Coulomb phase of the (asymptotically-free) Sp(2N) gauge theory with N_f fundamental hypermultiplets of arbitrary mass.