2008/10/31 by Roberto Auzzi, Minoru Eto, Sven Bjarke Gudnason +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.12.024
published as Nucl.Phys.B813:484-502,2009 · LaTeX 19 pages, 9 figures; v2: comments added in Section 2.3; v3: reference added
openalex publication_date 2009/01/02 · arxiv created 2009/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the stability of non-Abelian semi-local vortices based on an N=2 supersymmetric H = [SU(Nc) x U(1)]/ZNc = U(Nc) gauge theory with an arbitrary number of flavors (Nf > Nc) in the fundamental representation, when certain N=1 mass terms are present, making the vortex solutions no longer BPS-saturated. Local (ANO-like) vortices are found to be stable against fluctuations in the transverse directions. Strong evidence is found that the ANO-like vortices are actually the true minima. In other words, the semi-local moduli, which are present in the BPS limit, disappear in our non-BPS system, leaving the vortex with the orientational moduli CP(Nc-1) only. We discuss the implications of this fact on the system in which the U(Nc) model arises as the low-energy approximation of an underlying e.g. G = SU(Nc+1) gauge theory.