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<p>The study of non-local operators in gauge theory and holography, such as line-operators or interfaces, has attracted significant attention. Two-dimensional symmetric product orbifolds are close cousins of higher-dimensional gauge theory. In this work, we construct a novel family of interfaces in symmetric product orbifolds. These may be regarded as two-dimensional analogues of Wilson-line operators or Karch-Randall interfaces at the same time. The construction of the interfaces entails the choice of boundary conditions of the seed theory. For a generic seed theory, we construct the boundary states associated to the interfaces via the folding trick, compute their overlaps and extract the spectrum of interface changing operators through modular transformation. Then, we specialise to the supersymmetric four-torus <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathbb{T}}^{4}\)</EquationSource> </InlineEquation> and show that the corresponding interfaces of the symmetric product orbifold are dual to <i>AdS</i><sub>2</sub> branes in the tensionless limit of type IIB superstring theory on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(Ad{S}_{3}\times {S}^{3}\times {\mathbb{T}}^{4}\)</EquationSource> </InlineEquation>.</p>

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Holographic interfaces in symmetric product orbifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月15日

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  • Sebastian Harris,
  • Yasuaki Hikida,
  • Volker Schomerus,
  • Takashi Tsuda

摘要

The study of non-local operators in gauge theory and holography, such as line-operators or interfaces, has attracted significant attention. Two-dimensional symmetric product orbifolds are close cousins of higher-dimensional gauge theory. In this work, we construct a novel family of interfaces in symmetric product orbifolds. These may be regarded as two-dimensional analogues of Wilson-line operators or Karch-Randall interfaces at the same time. The construction of the interfaces entails the choice of boundary conditions of the seed theory. For a generic seed theory, we construct the boundary states associated to the interfaces via the folding trick, compute their overlaps and extract the spectrum of interface changing operators through modular transformation. Then, we specialise to the supersymmetric four-torus \({\mathbb{T}}^{4}\) and show that the corresponding interfaces of the symmetric product orbifold are dual to AdS2 branes in the tensionless limit of type IIB superstring theory on \(Ad{S}_{3}\times {S}^{3}\times {\mathbb{T}}^{4}\) .