Scholarlink

<p>We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS<sub>2</sub> evaluated between Ishibashi states of the algebra <i>sl</i>(2<i>,</i> ℝ). It is given in integral form where the integrand is the global conformal block multiplied by a smearing function which is the product of the scalar bulk-to-boundary propagators. The integral can be explicitly calculated as multidimensional series of which arguments are rational functions of endpoint coordinates. In the case of two and three endpoints the resulting expressions allow one to establish a number of relations between the gravitational Wilson line networks and Witten diagrams for massive scalar fields in AdS<sub>2</sub>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月28日

查看全文
  • Konstantin Alkalaev,
  • Vladimir Khiteev

摘要

We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS2 evaluated between Ishibashi states of the algebra sl(2, ℝ). It is given in integral form where the integrand is the global conformal block multiplied by a smearing function which is the product of the scalar bulk-to-boundary propagators. The integral can be explicitly calculated as multidimensional series of which arguments are rational functions of endpoint coordinates. In the case of two and three endpoints the resulting expressions allow one to establish a number of relations between the gravitational Wilson line networks and Witten diagrams for massive scalar fields in AdS2.