Entanglement dynamics in 2D CFT with boundary: entropic origin of JT gravity and Schwarzian QM

DOI10.1007/JHEP05(2019)045zbMATH Open1416.83072arXiv1808.05583WikidataQ127900828 ScholiaQ127900828MaRDI QIDQ2315686

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Publication date: 25 July 2019

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Abstract: We study the dynamics of the geometric entanglement entropy of a 2D CFT in the presence of a boundary. We show that this dynamics is governed by local equations of motion, that take the same form as 2D Jackiw-Teitelboim gravity coupled to the CFT. If we assume that the boundary has a small thickness $epsilon$ and constant boundary entropy, we derive that its location satisfies the equations of motion of Schwarzian quantum mechanics with coupling constant $C=cepsilon/12pi$. We rederive this result via energy-momentum conservation.

Full work available at URL: https://arxiv.org/abs/1808.05583

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