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<p>This work presents a study of the entanglement entropy (EE) in a class of four-dimensional <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the EE for different Ryu-Takayanagi embeddings. We allow the embeddings to explore, in addition to the usual spatial direction, the internal coordinate <i>z</i>, associated with the quiver degrees of freedom. Via the numerical optimization of splines on triangulations, we find the minimal configuration and the value of the EE for the different embeddings and quiver parameters. Our results agree with previous studies showcasing phase transitions in the EE. We also provide novel results illuminating the dependence of the EE on the fundamental and gauge degrees of freedom, signaling partial deconfinement, which are worthy of further study.</p>

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Holographic entanglement entropy in quiver theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月7日

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  • Dimitrios Chatzis,
  • Ali Fatemiabhari,
  • Mauro Giliberti,
  • Madison Hammond

摘要

This work presents a study of the entanglement entropy (EE) in a class of four-dimensional N \( \mathcal{N} \) = 1 linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the EE for different Ryu-Takayanagi embeddings. We allow the embeddings to explore, in addition to the usual spatial direction, the internal coordinate z, associated with the quiver degrees of freedom. Via the numerical optimization of splines on triangulations, we find the minimal configuration and the value of the EE for the different embeddings and quiver parameters. Our results agree with previous studies showcasing phase transitions in the EE. We also provide novel results illuminating the dependence of the EE on the fundamental and gauge degrees of freedom, signaling partial deconfinement, which are worthy of further study.