TY - JOUR
T1 - The holographic non-abelian vortex
AU - Tallarita, Gianni
AU - Auzzi, Roberto
AU - Peterson, Adam
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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 ℂℙ 1 excitation on the vortex world line.
AB - 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 ℂℙ 1 excitation on the vortex world line.
KW - AdS-CFT Correspondence
KW - Holography and condensed matter physics (AdS/CMT)
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=85063340792&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2019)114
DO - 10.1007/JHEP03(2019)114
M3 - Article
AN - SCOPUS:85063340792
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - 114
ER -