1999/09/30 by S. L. Dubovsky, D. S. Gorbunov, Dmitry Gorbunov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #advanced mathematical theories #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.61.085016
published as Phys.Rev. D61 (2000) 085016 · revtex, 6 pages, 1 figure. Final version to appear in Phys. Rev. D
arxiv created 2000/02/16 · openalex publication_date 2000/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently it was proposed that matching of global charges induced in vacuum by slowly varying, topologically non-trivial scalar fields provides consistency conditions analogous to the 't Hooft anomaly matching conditions. We study matching of induced charges in supersymmetric SU(N) gauge theories with quantum modified moduli space. We find that the Wess-Zumino term should be present in the low energy theory in order that these consistency conditions are satisfied. We calculate the lowest homotopy groups of the quantum moduli space, and show that there are no obstructions to the existence of the Wess-Zumino term at arbitrary N. The explicit expression for this term is given. It is shown that neither vortices nor topological solitons exist in the model. The case of softly broken supersymmetry is considered as well. We find that the possibility of the global flavor symmetric vacuum is strongly disfavored.