Duality, Multi-Monopole Dynamics & Quantum Threshold Bound States

TL;DR

This paper investigates the low-energy dynamics of supersymmetric monopoles, proposing a conjecture for their moduli space metric, and explores quantum states that correspond to dual magnetic states in supersymmetric gauge theories.

Contribution

It introduces a conjecture for the exact moduli space metric of multi-monopoles of distinct types and discusses its partial confirmations and implications for quantum states.

Findings

Proposes a conjecture for the exact monopole moduli space metric.

Recovers magnetic states dual to massive vector mesons through quantization.

Discusses generalization to nonabelian monopoles.

Abstract

Dynamics of many supersymmetric monopoles are studied in the low energy approximation. A conjecture for the exact moduli space metric is given for all collections of fundamental monopoles of distinct type, and various partial confirmations of the conjecture are discussed. Upon the quantization of the resulting multi-monopole dynamics in the context of $N=4$ supersymmetric Yang-Mills-Higgs theories, one recovers the missing magnetic states that are dual to some of the massive vector mesons. A generalization to monopoles with nonabelian charges is also discussed.