The rigid limit in Special K\"ahler geometry for SU(2) SYM with a massive quark hypermultiplet

TL;DR

This paper explores the rigid limit of type IIB string theory on a K3 fibration, connecting it to N=2 SU(2) Super-Yang-Mills with a massive hypermultiplet, and embeds the field theory into a supergravity framework.

Contribution

It provides a global treatment of the K3 fibration near the conifold limit, extending beyond ALE approximations, and embeds the resulting field theory into supergravity.

Findings

Derived periods enable embedding of field theory into supergravity.

Established a global approach to the K3 fibration near the conifold point.

Connected string compactification to Seiberg-Witten theory with massive hypermultiplet.

Abstract

We study the rigid limit of type IIB string theory, compactified on a K3 fibration, which, near its conifold limit, contains the Seiberg-Witten curve for N=2 SU(2) Super-Yang-Mills with a massive hypermultiplet in the fundamental representation. Instead of working with an ALE approximation, we treat the K3 fibration globally. The periods we get in this way, allow for an embedding of the field theory into a supergravity model.