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arXiv · 0810.5679

On the Stability of Non-Abelian Semi-local Vortices

Roberto Auzzi·Minoru Eto·Sven Bjarke Gudnason·Kenichi Konishi·Walter Vinci
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Abstract

We study the stability of non-Abelian semi-local vortices based on an N=2 supersymmetric H = [SU(Nc) x U(1)]/Z_Nc = 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.

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Roberto Auzzi, Minoru Eto, Sven Bjarke Gudnason, Kenichi Konishi, Walter Vinci. 2009-03-12. On the Stability of Non-Abelian Semi-local Vortices. https://doi.org/10.1016/j.nuclphysb.2008.12.024

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