English

On topological interpretation of quantum numbers

High Energy Physics - Theory 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9901036,
  title  = {On topological interpretation of quantum numbers},
  author = {S. A. Bulgadaev},
  journal= {arXiv preprint arXiv:hep-th/9901036},
  year   = {2009}
}

Comments

20 pages, Latex 2e, modified version

R2 v1 2026-07-22T16:13:47.069Z