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arXiv · hep-th/0507140

On Monopoles and Domain Walls

Amihay Hanany·David Tong
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Abstract

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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Amihay Hanany, David Tong. 2005-07-14. On Monopoles and Domain Walls. https://doi.org/10.1007/s00220-006-0056-7

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