Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-26
JHEP 0503 (2005) 019
Physics
High Energy Physics
High Energy Physics - Theory
46 Pages (35 pages of body + appendices). 12 Figures. v2: References added. Minor correction to index theorem in appendix B
Scientific paper
10.1088/1126-6708/2005/03/019
Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex strings ending on domain walls, monopoles threaded on strings ending on domain walls, and more. After presenting a self-contained review of these objects, including several new results on the dynamics of domain walls, we go on to examine the possible interactions of solitons of various types. We point out the existence of a classical binding energy when the string ends on the domain wall which can be thought of as a BPS boojum with negative mass. We present an index theorem for domain walls in non-abelian gauge theories. We also answer questions such as: Which strings can end on which walls? What happens when monopoles pass through domain walls? What happens when domain walls pass through each other?
Sakai Norisuke
Tong David
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