Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-12
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 13 pages
Scientific paper
Using a method introduced by Hitchin we obtain the system of first order differential equations that determine the most general cohomogeniety one G_2 holonomy metric with S^3 \times S^3 principal orbits. The method is then applied to G_2 metric with S^3 \times T^3 principal orbits in which an analytic solution is obtained. The generalized metric has more free parameters than that previously constructed. After showing that the generalization is non-trivial a system of first order equations is obtained for new Spin(7) metric with principal orbits S^7.
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