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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.20822 |
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| _version_ | 1866908420625399808 |
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| author | Auzzi, Roberto Bolognesi, Stefano Nardelli, Giuseppe Tallarita, Gianni Zenoni, Nicolò |
| author_facet | Auzzi, Roberto Bolognesi, Stefano Nardelli, Giuseppe Tallarita, Gianni Zenoni, Nicolò |
| contents | We study soliton and black hole solutions with scalar hair in AdS$_3$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20822 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solitonic vortices and black holes with vortex hair in AdS$_3$ Auzzi, Roberto Bolognesi, Stefano Nardelli, Giuseppe Tallarita, Gianni Zenoni, Nicolò High Energy Physics - Theory We study soliton and black hole solutions with scalar hair in AdS$_3$ 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. |
| title | Solitonic vortices and black holes with vortex hair in AdS$_3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.20822 |