Topological excitations of D-dimensional conformal nonlinear σ-models
L. D. Landau Institute - Kosyghin Str. 2, Moscow 117334, Russia and
Max Planck Institute - Nothnitzer Str. 38, Dresden, Germany
Accepted: 23 July 2001
Conformal nonlinear σ-models (NSM) are constructed in arbitrary D-dimensional spaces. For odd D they are always nonlocal. It is shown that the conformal NSM on spaces with have topological solutions of "hedgehog" and "anti-hedgehog" types with logarithmic energies. For spaces with they have also topological excitations of instanton type with finite energies. The possible interesting manifolds are discussed.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture / 11.25.Hf – Conformal field theory, algebraic structures
© EDP Sciences, 2001