Holographic complexity of black non-susy D3-brane and the high temperature limit
Autor: | Sunandan Gangopadhyay, Sourav Karar, A. S. Majumdar |
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Rok vydání: | 2018 |
Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Holography Physics::Optics FOS: Physical sciences Astronomy and Astrophysics Supersymmetry Atomic and Molecular Physics and Optics law.invention Theoretical physics High Energy Physics - Theory (hep-th) law Thermal D-brane Anti-de Sitter space Brane Temperature limit |
DOI: | 10.48550/arxiv.1804.00615 |
Popis: | The holographic complexity of a `black' non-susy $D3$-brane is computed. The difference in the holographic complexity between this geometry in the Fefferman-Graham coordinates and that of the $AdS_5$ geometry is obtained for a strip type subsystem. This is then related to the changes in the energy and the entanglement entropy of the system. We next take the high temperature limit of the change in complexity and observe that it scales with the temperature in the same way as the holographic entanglement entropy. The crossover of the holographic complexity to its corresponding thermal counterpart is similar to the corresponding crossover of the holographic entanglement entropy in the high temperature limit. We further repeat the analysis for $\mathcal{N} =4$ super Yang-Mills theory and observe a similar behaviour. Comment: 14 pages Latex, a reference has been added, some observations have been made, conclusions expanded |
Databáze: | OpenAIRE |
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