Skyrmions from Instantons inside Domain Walls

Details Skyrmions from Instantons inside Domain Walls Skyrmions from Instantons inside Domain Walls

2005-08-18

arxiv.org/abs/hep-th/0508130v3

Phys.Rev.Lett. 95 (2005) 252003

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure. v1: References added. v2: typos corrected

Scientific paper

10.1103/PhysRevLett.95.252003

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show that the worldvolume dynamics of the wall is given by the Skyrme model, including the four-derivative term, and the instantons appear as Skyrmions.

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