SO/Sp Monopoles and Branes with Orientifold 3 Plane

TL;DR

This paper explores BPS monopoles in 4D N=4 SO(N) and Sp(N) super Yang-Mills theories using D3 branes and an Orientifold 3 plane in string theory, providing geometric insights into monopole configurations.

Contribution

It offers a string theory realization of monopoles in SO(N) and Sp(N) theories via D-branes and orientifold planes, clarifying the Nahm data compatibility conditions.

Findings

Monopoles are realized through D1 branes stretched between D3 branes and an O3 plane.

The asymptotic Higgs field and magnetic charges are constrained by the O3 plane.

Nahm data conditions are naturally interpreted via D1 branes in the presence of the O3 plane.

Abstract

We study BPS monopoles in 4 dimensional N=4 SO(N) and $Sp(N)$ super Yang-Mills theories realized as the low energy effective theory of $N$ (physical and its mirror) parallel D3 branes and an {\it Orientifold 3 plane} with D1 branes stretched between them in type IIB string theory. Monopoles on D3 branes give the natural understanding by embedding in SU(N) through the constraints on both the asymptotic Higgs field (corresponding to the horizontal positions of D3 branes) and the magnetic charges (corresponding to the number of D1 branes) imposed by the O3 plane. The compatibility conditions of Nahm data for monopoles for these groups can be interpreted very naturally through the D1 branes in the presence of O3 plane.