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Volume complexity for Janus \(\mathrm{AdS}_3\) geometries - MaRDI portal

Volume complexity for Janus \(\mathrm{AdS}_3\) geometries

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Publication:1980617

DOI10.1007/JHEP08(2021)045zbMATH Open1469.81055arXiv2105.08729OpenAlexW3196160407WikidataQ114233061 ScholiaQ114233061MaRDI QIDQ1980617

Author name not available (Why is that?)

Publication date: 8 September 2021

Published in: (Search for Journal in Brave)

Abstract: We investigate the complexity=volume proposal in the case of Janus AdS3 geometries, both at zero and finite temperature. The leading contribution coming from the Janus interface is a logarithmic divergence, whose coefficient is a function of the dilaton excursion. In the presence of the defect, complexity is no longer topological and becomes temperature-dependent. We also study the time evolution of the extremal volume for the time-dependent Janus BTZ black hole. This background is not dual to an interface but to a pair of entangled CFTs with different values of the couplings. At late times, when the equilibrium is restored, the couplings of the CFTs do not influence the complexity rate. On the contrary, the complexity rate for the out-of-equilibrium system is always smaller compared to the pure BTZ black hole background.


Full work available at URL: https://arxiv.org/abs/2105.08729



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