English

D-Dimensional Conformal $\sigma$-models and Topological Excitations

High Energy Physics - Theory 2007-05-23 v1

Abstract

The D-dimensional conformal nonlinear sigma-models (NSM) sre constructed. It is shown that the NSM on spaces with πD1=Z\pi_{D-1} = \mathbb {Z} have the topological solutions of a "hedgehog" and "anti-hedgehog" types with logarithmic energies. For spaces with πD0\pi_D \ne 0 they have also the topological excitations of instanton types with finite energies.

Keywords

Cite

@article{arxiv.hep-th/0002059,
  title  = {D-Dimensional Conformal $\sigma$-models and Topological Excitations},
  author = {S. A. Bulgadaev},
  journal= {arXiv preprint arXiv:hep-th/0002059},
  year   = {2007}
}

Comments

11 pages, Latex-2e

R2 v1 2026-07-22T14:56:37.835Z