Abstract
We study a fully back-reacted non-abelian vortex solution in an extension of the holographic superconductor setup. The thermodynamic properties of the vortex are computed. We show that, in some regime of parameters, the non-abelian vortex solution has a lower free energy than a competing abelian vortex solution. The solution is dual to a finite-temperature perturbed conformal field theory with a topological defect, on which operators related to the Goldstone modes of a spontaneously broken symmetry are localized. We compute numerically the retarded Green function of these operators and we find, in the classical approximation in the bulk, a gapless ℂℙ1 excitation on the vortex world line.
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Tallarita, G., Auzzi, R. & Peterson, A. The holographic non-abelian vortex. J. High Energ. Phys. 2019, 114 (2019). https://doi.org/10.1007/JHEP03(2019)114
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DOI: https://doi.org/10.1007/JHEP03(2019)114