Domain wall networks on solitons

Abstract

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.

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

References in corpus (2)

• Solitonic D-branes and brane annihilation
• Network of Domain Walls on Soliton Stars

Cited by in corpus (17)

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• Webs of Walls
• General solutions for some classes of interacting two field kinks
• Effective Action of Domain Wall Networks
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• Orbit-based deformation procedure for two-field models
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Fermion states on domain wall junctions and the flavor number
• Expanding the class of general exact solutions for interacting two field kinks
• Constructing networks of defects with scalar fields
• Construction of topological defect networks with complex scalar fields
• Generalized MSTB Models: Structure and kink varieties
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Bimagnetic Monopoles
• Knotted domain strings
• Domain walls on the surface of q-stars
• Composite solitary waves in three-component scalar field theory: I. The kink variety