On topological interpretation of quantum numbers

Details On topological interpretation of quantum numbers On topological interpretation of quantum numbers

1999-01-11

arxiv.org/abs/hep-th/9901036v1

J.Exp.Theor.Phys. 89 (1999) 603-611; Zh.Eksp.Teor.Fiz. 116 (1999) 1131-1147

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex 2e, modified version

Scientific paper

10.1134/1.559020

It is shown how one can define vector topological charges for topological exitations of non-linear sigma-models on compact homogeneous spaces T_G and G/T_G (where G is a simple compact Lie group and T_G is its maximal commutative subgroup). Explicit solutions for some cases, their energies and interaction of different topological charges are found. A possibility of the topological interpretation of the quantum numbers of groups and particles is discussed.

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