On Monopoles and Domain Walls
arXiv:hep-th/0507140 · doi:10.1007/s00220-006-0056-7
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.
22 pages, 5 figures
References in corpus (12)
- All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
- Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling
- Construction of Non-Abelian Walls and Their Complete Moduli Space
- Non-Abelian Walls in Supersymmetric Gauge Theories
- Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
- D-brane Construction for Non-Abelian Walls
- Webs of Walls
- Non-Abelian Vortices in N=1* Gauge Theory
- Monopoles Can be Confined by 0, 1 or 2 Vortices
- New BPS Objects in N=2 Supersymmetric Gauge Theories
- Stable vs Unstable Vortices in SQCD
- On the Need for Phenomenological Theory of P-Vortices or Does Spaghetti Confinement Pattern Admit Condensed-Matter Analogies?
Cited by in corpus (19)
- Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
- Domain Walls with Non-Abelian Clouds
- Intersecting Solitons, Amoeba and Tropical Geometry
- Dynamics of Domain Wall Networks
- Relations among topological solitons
- Non-Abelian Monopoles in the Higgs Phase
- Effective Action of Domain Wall Networks
- Dynamics of Strings between Walls
- Dynamics of Non-Abelian Vortices
- Chiral Magnets from String Theory
- Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
- Intersecting Branes, Domain Walls and Superpotentials in 3d Gauge Theories
- BPS pion domain walls in the supersymmetric chiral Lagrangian
- Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
- Vortices and Monopoles in a Harmonic Trap
- Domain Wall and Three Dimensional Duality
- Non-Abelian Vortices with a Twist
- Domain Walls on Singularities
- Solitons on Singularities