Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-26
Nucl.Phys. B631 (2002) 325-341
Physics
High Energy Physics
High Energy Physics - Theory
Latex. 1+21 pages. References updated
Scientific paper
10.1016/S0550-3213(02)00217-1
Exact $SU(2)\times U(1)$ self-gravitating BPS global monopoles in four dimensions are constructed by dimensional reduction of eight dimensional metrics with $G_2$ holonomy asymptotic to cones over $S^3\times S^3$. The solutions carry two topological charges in an interesting way. They are generically axially but not spherically symmetric. This last fact is related to the isometries and asymptotic topology of the $G_2$ metrics. It is further shown that some $G_2$ metrics known numerically reduce to supersymmetric cosmic strings.
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