Wedge holographic complexity in Karch-Randall braneworld
Abstract We investigate holographic complexities in the context of wedge holography, focusing specifically on black string geometry in AdS3. The wedge spacetime is bounded by two end-of-the-world (EOW) branes with intrinsic Dvali-Gabadadze-Porrati (DGP) gravity. In line with this codimension-two hol...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)174 |
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| author | Yichao Fu Keun-Young Kim |
| author_facet | Yichao Fu Keun-Young Kim |
| author_sort | Yichao Fu |
| collection | DOAJ |
| description | Abstract We investigate holographic complexities in the context of wedge holography, focusing specifically on black string geometry in AdS3. The wedge spacetime is bounded by two end-of-the-world (EOW) branes with intrinsic Dvali-Gabadadze-Porrati (DGP) gravity. In line with this codimension-two holography, there are three equivalent perspectives: bulk perspective, brane perspective, and boundary perspective. Using both the “Complexity=Volume” (CV) and “Complexity=Action” (CA) proposals, we analyze the complexity in wedge black string geometry in the tensionless limit. By treating the branes as rigid, we find the late-time growth rates of CV and CA match exactly across bulk and brane perspectives. These results are consistent with those from JT gravity, with additional contributions from the intrinsic gravity of the branes. For fluctuating branes, we find that the late-time growth rates of CV and CA match between bulk and brane perspectives at the linear order of fluctuation. The CV ϕ h 2 ϕ 0 $$ \frac{\phi_h^2}{\phi_0} $$ corrections from fluctuations, consistent with the findings in previous work. Moreover, the CA results reveal an additional constant term in the fluctuating branes case. We provide an interpretation of this in terms of gravitational edge mode effects. The distinct corrections arising from fluctuations in the CA and CV proposals suggest that the CV proposal is more sensitive to geometric details. Furthermore, we discuss these results in relation to Lloyd’s bound on complexity, their general time dependence, and the effects of fluctuations. |
| format | Article |
| id | doaj-art-5ba6cf6e379d42c2a05da1a68fb59e28 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-5ba6cf6e379d42c2a05da1a68fb59e282025-02-09T12:07:03ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113410.1007/JHEP01(2025)174Wedge holographic complexity in Karch-Randall braneworldYichao Fu0Keun-Young Kim1Department of Physics and Photon Science, Gwangju Institute of Science and TechnologyDepartment of Physics and Photon Science, Gwangju Institute of Science and TechnologyAbstract We investigate holographic complexities in the context of wedge holography, focusing specifically on black string geometry in AdS3. The wedge spacetime is bounded by two end-of-the-world (EOW) branes with intrinsic Dvali-Gabadadze-Porrati (DGP) gravity. In line with this codimension-two holography, there are three equivalent perspectives: bulk perspective, brane perspective, and boundary perspective. Using both the “Complexity=Volume” (CV) and “Complexity=Action” (CA) proposals, we analyze the complexity in wedge black string geometry in the tensionless limit. By treating the branes as rigid, we find the late-time growth rates of CV and CA match exactly across bulk and brane perspectives. These results are consistent with those from JT gravity, with additional contributions from the intrinsic gravity of the branes. For fluctuating branes, we find that the late-time growth rates of CV and CA match between bulk and brane perspectives at the linear order of fluctuation. The CV ϕ h 2 ϕ 0 $$ \frac{\phi_h^2}{\phi_0} $$ corrections from fluctuations, consistent with the findings in previous work. Moreover, the CA results reveal an additional constant term in the fluctuating branes case. We provide an interpretation of this in terms of gravitational edge mode effects. The distinct corrections arising from fluctuations in the CA and CV proposals suggest that the CV proposal is more sensitive to geometric details. Furthermore, we discuss these results in relation to Lloyd’s bound on complexity, their general time dependence, and the effects of fluctuations.https://doi.org/10.1007/JHEP01(2025)174Gauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Yichao Fu Keun-Young Kim Wedge holographic complexity in Karch-Randall braneworld Journal of High Energy Physics Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| title | Wedge holographic complexity in Karch-Randall braneworld |
| title_full | Wedge holographic complexity in Karch-Randall braneworld |
| title_fullStr | Wedge holographic complexity in Karch-Randall braneworld |
| title_full_unstemmed | Wedge holographic complexity in Karch-Randall braneworld |
| title_short | Wedge holographic complexity in Karch-Randall braneworld |
| title_sort | wedge holographic complexity in karch randall braneworld |
| topic | Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP01(2025)174 |
| work_keys_str_mv | AT yichaofu wedgeholographiccomplexityinkarchrandallbraneworld AT keunyoungkim wedgeholographiccomplexityinkarchrandallbraneworld |