A complexity/fidelity susceptibility \(g\)-theorem for \(\mathrm{AdS}_{3}/BCFT_{2}\)
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Publication:683255
DOI10.1007/JHEP06(2017)131zbMATH Open1380.81315arXiv1702.06386WikidataQ112147371 ScholiaQ112147371MaRDI QIDQ683255
Author name not available (Why is that?)
Publication date: 5 February 2018
Published in: (Search for Journal in Brave)
Abstract: We use a recently proposed holographic Kondo model as a well-understood example of AdS/boundary CFT (BCFT) duality, and show explicitly that in this model the bulk volume decreases along the RG flow. We then obtain a proof that this volume loss is indeed a generic feature of AdS/BCFT models of the type proposed by Takayanagi in 2011. According to recent proposals holographically relating bulk volume to such quantities as complexity or fidelity susceptibility in the dual field theory, this suggests the existence of a complexity or fidelity susceptibility analogue of the Affleck-Ludwig g-theorem, which famously states the decrease of boundary entropy along the RG flow of a BCFT. We comment on this possibility.
Full work available at URL: https://arxiv.org/abs/1702.06386
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