Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-21
Physics
High Energy Physics
High Energy Physics - Theory
LateX, 9 pages
Scientific paper
We perform the group analysis of Witten's equations of motion for a particle moving in the presence of a magnetic monopole, and also when constrained to move on the surface of a sphere, which is the classical Wess-Zumino-Witten model. We also consider variations of this model. Our analysis gives the generators of the corresponding Lie point symmetries. The Lie symmetry corresponding to Kepler's third law is obtained in two related examples.
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