Quantum extremal islands made easy. III: Complexity on the brane
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Publication:2026054
DOI10.1007/JHEP02(2021)173zbMATH Open1460.81072arXiv2010.16398MaRDI QIDQ2026054
Author name not available (Why is that?)
Publication date: 17 May 2021
Published in: (Search for Journal in Brave)
Abstract: We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(R) gravity in the bulk.
Full work available at URL: https://arxiv.org/abs/2010.16398
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