Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe

TL;DR

This paper constructs BPS monopole solutions in N=2 super Yang-Mills theory using a threebrane probe in F theory, revealing insights into the moduli space and the UV/IR correspondence.

Contribution

It provides a novel worldvolume realization of monopoles as threebrane solutions, connecting field theory singularities with supergravity backgrounds.

Findings

BPS states are realized as threebrane solutions preserving half of N=2 supersymmetry.

The positions of sevenbranes correspond to singularities in the moduli space.

The UV cutoff in field theory maps to an IR cutoff in supergravity.

Abstract

The BPS states of N=2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the worldvolume theory of a threebrane probe in F theory. The solutions preserve 1/2 of N=2 supersymmetry and provide a worldvolume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to curvature singularities in the supergravity background. We explicitly show how the UV cut off of the effective field theory is mapped into an IR cut off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.