D-Dimensional Conformal $σ$-models and Topological Excitations

Details D-Dimensional Conformal $σ$-models and Topological Excitations D-Dimensional Conformal $σ$-models and Topological Excitations

2000-02-08

arxiv.org/abs/hep-th/0002059v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex-2e

Scientific paper

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

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