On Monopoles and Domain Walls

Details On Monopoles and Domain Walls On Monopoles and Domain Walls

2005-07-14

arxiv.org/abs/hep-th/0507140v1

Commun.Math.Phys. 266 (2006) 647-663

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures

Scientific paper

The purpose of this paper is to describe a relationship between maximally supersymmetric domain walls and magnetic monopoles. We show that the moduli space of domain walls in non-abelian gauge theories with N flavors is isomorphic to a complex, middle dimensional, submanifold of the moduli space of U(N) magnetic monopoles. This submanifold is defined by the fixed point set of a circle action rotating the monopoles in the plane. To derive this result we present a D-brane construction of domain walls, yielding a description of their dynamics in terms of truncated Nahm equations. The physical explanation for the relationship lies in the fact that domain walls, in the guise of kinks on a vortex string, correspond to magnetic monopoles confined by the Meissner effect.

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