Interior structure and complexity growth rate of holographic superconductor from M-theory
Abstract We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)133 |
| _version_ | 1811320648421605376 |
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| author | Yu-Sen An Li Li Fu-Guo Yang Run-Qiu Yang |
| author_facet | Yu-Sen An Li Li Fu-Guo Yang Run-Qiu Yang |
| author_sort | Yu-Sen An |
| collection | DOAJ |
| description | Abstract We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition. |
| first_indexed | 2024-04-13T13:03:10Z |
| format | Article |
| id | doaj.art-a1a9056bfb5644d49586c2fc2cfcb589 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T13:03:10Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a1a9056bfb5644d49586c2fc2cfcb5892022-12-22T02:45:52ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022813810.1007/JHEP08(2022)133Interior structure and complexity growth rate of holographic superconductor from M-theoryYu-Sen An0Li Li1Fu-Guo Yang2Run-Qiu Yang3Department of Physics, Fudan UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCenter for Joint Quantum Studies and Department of Physics School of Science, Tianjin UniversityAbstract We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition.https://doi.org/10.1007/JHEP08(2022)133AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Yu-Sen An Li Li Fu-Guo Yang Run-Qiu Yang Interior structure and complexity growth rate of holographic superconductor from M-theory Journal of High Energy Physics AdS-CFT Correspondence Black Holes |
| title | Interior structure and complexity growth rate of holographic superconductor from M-theory |
| title_full | Interior structure and complexity growth rate of holographic superconductor from M-theory |
| title_fullStr | Interior structure and complexity growth rate of holographic superconductor from M-theory |
| title_full_unstemmed | Interior structure and complexity growth rate of holographic superconductor from M-theory |
| title_short | Interior structure and complexity growth rate of holographic superconductor from M-theory |
| title_sort | interior structure and complexity growth rate of holographic superconductor from m theory |
| topic | AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP08(2022)133 |
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