Domain wall networks on solitons

Details Domain wall networks on solitons Domain wall networks on solitons

2003-05-22

arxiv.org/abs/hep-th/0305198v2

Phys.Rev. D68 (2003) 085004

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, including figures. v2 includes a discussion of Archimedean networks

Scientific paper

10.1103/PhysRevD.68.085004

Domain wall networks on the surface of a soliton are studied in a simple theory. It consists of two complex scalar fields, in (3+1)-dimensions, with a global U(1) x Z_n symmetry, where n>2. Solutions are computed numerically in which one of the fields forms a Q-ball and the other field forms a network of domain walls localized on the surface of the Q-ball. Examples are presented in which the domain walls lie along the edges of a spherical polyhedron, forming junctions at its vertices. It is explained why only a small restricted class of polyhedra can arise as domain wall networks.

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