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<p>In 1+1 dimensional conformal field theory with a boundary the boundary contribution to the entanglement entropy is determined by a single number <i>g</i> effectively counting the boundary degrees of freedom. In contrast, in 1+1 dimensional interface CFTs the corresponding quantity is a non-trivial <i>function</i> depending on the position of the interval relative to the interface, giving access to much more detailed information about the defect. In this work we determined this <i>g</i>-function in several examples using holography and derive some of its basic properties from holography and strong subadditivity.</p>

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The boundary entropy function for interface conformal field theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月10日

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  • Evangelos Afxonidis,
  • Andreas Karch,
  • Chitraang Murdia

摘要

In 1+1 dimensional conformal field theory with a boundary the boundary contribution to the entanglement entropy is determined by a single number g effectively counting the boundary degrees of freedom. In contrast, in 1+1 dimensional interface CFTs the corresponding quantity is a non-trivial function depending on the position of the interval relative to the interface, giving access to much more detailed information about the defect. In this work we determined this g-function in several examples using holography and derive some of its basic properties from holography and strong subadditivity.