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<p>We study soliton and black hole solutions with scalar hair in AdS<sub>3</sub> in a theory with a Maxwell field and a charged scalar field with double trace boundary conditions, which can trigger the dual boundary theory to become a superconductor. We investigate the phase diagram as a function of the temperature <i>T</i> and of the double trace coupling <i>κ</i> and we find a rich pattern of phase transitions, which can be of the Hawking-Page kind or can be due to the condensation of the order parameter. We also find a transition between vortex solutions and the zero temperature limit of the black hole for a critical value of the double trace coupling <i>κ</i>. The Little-Park periodicity is realized for the dual of the black hole solution with hair as a shift in the winding number and in the gauge field.</p>

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Solitonic vortices and black holes with vortex hair in AdS3

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月20日

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  • Roberto Auzzi,
  • Stefano Bolognesi,
  • Giuseppe Nardelli,
  • Gianni Tallarita,
  • Nicolò Zenoni

摘要

We study soliton and black hole solutions with scalar hair in AdS3 in a theory with a Maxwell field and a charged scalar field with double trace boundary conditions, which can trigger the dual boundary theory to become a superconductor. We investigate the phase diagram as a function of the temperature T and of the double trace coupling κ and we find a rich pattern of phase transitions, which can be of the Hawking-Page kind or can be due to the condensation of the order parameter. We also find a transition between vortex solutions and the zero temperature limit of the black hole for a critical value of the double trace coupling κ. The Little-Park periodicity is realized for the dual of the black hole solution with hair as a shift in the winding number and in the gauge field.