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Symmetry 2016, 8(9), 91; https://doi.org/10.3390/sym8090091

Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes

1
Department of Matematica Aplicada, University of Salamanca, Salamanca 37007, Spain
2
Department of Fisica Fundamental, University of Salamanca, Salamanca 37008, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Shin’ichi Nojiri
Received: 21 June 2016 / Revised: 22 August 2016 / Accepted: 25 August 2016 / Published: 1 September 2016
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Abstract

In this paper, zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged U ( 1 ) nonlinear CP 1 -model. If 2 π n , n Z , is the quantized magnetic flux of the two species of BPS vortex solutions, 2 n linearly-independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension 2 n of these stringy topological defects is thus locally shown. View Full-Text
Keywords: gauged non-linear ℂℙ1-models; self-dual vortices of two classes; vortex zero modes gauged non-linear ℂℙ1-models; self-dual vortices of two classes; vortex zero modes
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Alonso-Izquierdo, A.; Mateos-Guilarte, J. Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes. Symmetry 2016, 8, 91.

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