<p>The entanglement entropy of intervals in 1 + 1 interface CFTs is modified in two ways compared to a CFT without interface: there is a finite boundary entropy contribution, and, for an interval with an endpoint at the interface, the coefficient of the logarithmically divergent contribution -which is usually proportional to the central charge of the CFT- is modified to an effective central charge. We show that the latter modification can be understood as a limit of the former using holographic duals of interface CFTs. Furthermore, we show that a finite “boundary entropy” contribution also appears in intervals that do not cross the interface and it is needed to ensure strong subbaditivity of the entanglement entropy.</p>

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Connecting boundary entropy and effective central charge at holographic interfaces

  • Evangelos Afxonidis,
  • Ignacio Carreño Bolla,
  • Carlos Hoyos,
  • Andreas Karch

摘要

The entanglement entropy of intervals in 1 + 1 interface CFTs is modified in two ways compared to a CFT without interface: there is a finite boundary entropy contribution, and, for an interval with an endpoint at the interface, the coefficient of the logarithmically divergent contribution -which is usually proportional to the central charge of the CFT- is modified to an effective central charge. We show that the latter modification can be understood as a limit of the former using holographic duals of interface CFTs. Furthermore, we show that a finite “boundary entropy” contribution also appears in intervals that do not cross the interface and it is needed to ensure strong subbaditivity of the entanglement entropy.