PIRSA:20110047

Quantum Extremal Islands Made Easy: Complexity on the brane

Ruan, S. (2020). Quantum Extremal Islands Made Easy: Complexity on the brane. Perimeter Institute. https://pirsa.org/20110047

Ruan, Shan-Ming. Quantum Extremal Islands Made Easy: Complexity on the brane. Perimeter Institute, Nov. 17, 2020, https://pirsa.org/20110047 

          @misc{ pirsa_PIRSA:20110047,
            doi = {10.48660/20110047},
            url = {https://pirsa.org/20110047},
            author = {Ruan, Shan-Ming},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Quantum Extremal Islands Made Easy: Complexity on the brane},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110047 see, \url{https://pirsa.org}}
          }

Shan-Ming Ruan

Perimeter Institute for Theoretical Physics

Talk number
PIRSA:20110047
Collection
Talk Type
Subject
Abstract
We examine holographic complexity in the doubly holographic model 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 higher curvature action for the brane gravity. 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.