The landscape of complexity measures in 2D gravity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917077154004992 |
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| author | Cáceres, Elena Carrasco, Rafael Patil, Vaishnavi Pedraza, Juan F. Svesko, Andrew |
| author_facet | Cáceres, Elena Carrasco, Rafael Patil, Vaishnavi Pedraza, Juan F. Svesko, Andrew |
| contents | We investigate the broad landscape of holographic complexity measures for theories dual to two-dimensional (2D) dilaton gravity. Previous studies have largely focused on the complexity=volume and complexity=action proposals for holographic complexity. Here we systematically construct and analyze a wide class of generalized complexity functionals, focusing on codimension-one bulk observables. Two complementary approaches are presented: one inspired by dimensional reduction of codimension-one observables from higher-dimensional gravity, and another that adopts a purely 2D perspective. We verify the resulting observables exhibit hallmark features of complexity, such as linear growth at late times and the switchback effect. We further offer heuristic interpretations of the role of multiple extremal surfaces when they appear. Finally, we comment on the bulk-to-boundary dictionary via the covariant Peierls bracket in 2D gravity. Our work lays the groundwork for a richer understanding of quantum complexity in low-dimensional holographic dualities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The landscape of complexity measures in 2D gravity Cáceres, Elena Carrasco, Rafael Patil, Vaishnavi Pedraza, Juan F. Svesko, Andrew High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate the broad landscape of holographic complexity measures for theories dual to two-dimensional (2D) dilaton gravity. Previous studies have largely focused on the complexity=volume and complexity=action proposals for holographic complexity. Here we systematically construct and analyze a wide class of generalized complexity functionals, focusing on codimension-one bulk observables. Two complementary approaches are presented: one inspired by dimensional reduction of codimension-one observables from higher-dimensional gravity, and another that adopts a purely 2D perspective. We verify the resulting observables exhibit hallmark features of complexity, such as linear growth at late times and the switchback effect. We further offer heuristic interpretations of the role of multiple extremal surfaces when they appear. Finally, we comment on the bulk-to-boundary dictionary via the covariant Peierls bracket in 2D gravity. Our work lays the groundwork for a richer understanding of quantum complexity in low-dimensional holographic dualities. |
| title | The landscape of complexity measures in 2D gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.20943 |