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

Nele Callebaut, Herman Verlinde

Research output: Contribution to journalArticle

12 Scopus citations

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 ϵ and constant boundary entropy, we derive that its location satisfies the equations of motion of Schwarzian quantum mechanics with coupling constant C = c ϵ/12π. We rederive this result via energy-momentum conservation.

Original languageEnglish (US)
Article number45
JournalJournal of High Energy Physics
Volume2019
Issue number5
DOIs
StatePublished - May 1 2019

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 2D Gravity
  • ArXiv ePrint: 1808.05583
  • Conformal Field Theory
  • Field Theories in Lower Dimensions

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