Low Energy Dynamics of Monopoles in Supersymmetric Yang-Mills Theories with Hypermultiplets

TL;DR

This paper derives the low energy behavior of monopoles and dyons in N=2 supersymmetric Yang-Mills theories with hypermultiplets, using collective coordinate expansion to obtain a supersymmetric quantum mechanics model.

Contribution

It presents a novel derivation of the monopole and dyon dynamics in theories with hypermultiplets, generalizing previous models to include arbitrary representations and nonzero vacuum expectation values.

Findings

Derived a supersymmetric quantum mechanics model for monopole dynamics.

Included hypermultiplets with arbitrary representations and nonzero VEVs.

Connected the model to dimensional reduction of (4,0) supersymmetric sigma models.

Abstract

We derive the low energy dynamics of monopoles and dyons in N=2 supersymmetric Yang-Mills theories with hypermultiplets in arbitrary representations by utilizing a collective coordinate expansion. We consider the most general case that Higgs fields both in the vector multiplet and in the hypermultiplets have nonzero vacuum expectation values. The resulting theory is a supersymmetric quantum mechanics which has been obtained by a nontrivial dimensional reduction of two-dimensional (4,0) supersymmetric sigma models with potentials.