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Phys. Rev. D 68, 085004 (2003) [8 pages]

Domain wall networks on solitons

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Paul Sutcliffe*
Institute of Mathematics, University of Kent, Canterbury, CT2 7NZ, United Kingdom

Received 10 June 2003; published 13 October 2003

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)×Zn 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.085004
DOI:
10.1103/PhysRevD.68.085004
PACS:
11.10.Lm

*Email address: P.M.Sutcliffe@kent.ac.uk