2018/04/30 by Sourav Karar, Sunandan Gangopadhyay, A. S. Majumdar · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Crossover #Entropy (arrow of time) #Holography #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Quantum entanglement #Thermal #hep-th
paper · pdf · doi:10.1142/s0217751x19500039
published in International Journal of Modern Physics A 34(01), 1950003 (World Scientific) · 14 pages Latex, a reference has been added, some observations have been made, conclusions expanded
openalex created_date 2018/04/13 · arxiv created 2018/08/18 · openalex publication_date 2019/01/10 · arxiv updated 2019/01/28 · openalex updated_date 2026/08/05
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 [Formula: see text] super-Yang–Mills theory and observe a similar behavior.