N=2 Supersymmetric Theories, Dyonic Charges and Instantons

TL;DR

This paper investigates BPS instantons in type II string compactifications and constructs general N=2 supersymmetric gauge theories with dyonic charges, including hypermultiplet couplings, revealing new insights into their structure and solutions.

Contribution

It introduces a comprehensive framework for N=2 supersymmetric gauge theories with dyonic charges and analyzes BPS instantons in string compactifications, including hypermultiplet interactions.

Findings

BPS instantons are characterized as finite action solutions in string compactifications.

General Lagrangians for N=2 theories with electric and magnetic charges are constructed.

Hypermultiplet couplings are incorporated into the gauge theories.

Abstract

This paper contains the results of our investigations of BPS instantons and of our work on N=2 supersymmetric gauge theories. The BPS instantons we study appear in type II string theory compactifications on Calabi-Yau threefolds. In the corresponding four-dimensional effective supergravity actions the BPS instantons arise as finite action solutions to the Euclidean equations of motion. For N=2 supersymmetric gauge theories we construct general Lagrangians involving gauge groups with (non-abelian) electric and magnetic (dyonic) charges. In this work a coupling to hypermultiplets is included.