Erlangen 2026 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 6: Holography: AdS/CFT
MP 6.1: Talk
Wednesday, March 18, 2026, 16:15–16:30, KH 02.013
Deriving Area Metric Dynamics from Entanglement — •Lavish Chawla1,2, Aranya Bhattacharya1,3, Mario Flory1, and Mateusz Kulig1 — 1Jagiellonian University in Krakow, Poland — 2Friedrich-Schiller-Universität Jena, Germany — 3University of Bristol, United Kingdom
In this talk, we will present recent progress on deriving the equations of motion for a generalised geometric structure-area metrics-linearised around empty Anti-de Sitter (AdS) spacetime within the framework of the AdS/CFT correspondence. The discussion is organized into three parts. First, we will introduce the defining properties of area metric tensor and briefly discuss their emergence in various approaches of quantum gravity, as well as why they are relevant in holography. In the second part, we focus on spherical entangling regions in three-dimensional CFTs, and, by combining the first law of entanglement with the Ryu-Takayanagi formula, we determine how leading order area metric fluctuations in the asymptotic AdS expansion contribute to the holographic stress tensor. This provides a new entry in the holographic dictionary linking area metric perturbations to boundary energy momentum data. Finally, using this dictionary, we show that for finite spherical subregions, the combined requirements of the first law of entanglement and holographic entanglement entropy impose nontrivial constraints on the dynamics of area metric perturbations.
Keywords: AdS/CFT Correspondence; Area Metrics; Holographic Entanglement Entropy