Scholarlink

<p>This paper studies AdS/CFT in its <i>p</i>-adic version (at the “finite place”) in the setting where the bulk geometry is made up of the Tate curve, a discrete quotient of the Bruhat-Tits tree. Generalizing a classic result due to Zabrodin, the boundary dual of the free massive bulk theory is explicitly derived. Introducing perturbative interactions, the Witten diagrams for the two-point and three-point correlators are computed for generic scaling dimensions at one-loop and tree level respectively. The answers obtained demonstrate how <i>p</i>-adic AdS/CFT on the Tate curve provides a useful toy model for real CFTs at finite temperature.</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

Finite temperature at finite places

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月13日

查看全文
  • An Huang,
  • Christian Baadsgaard Jepsen

摘要

This paper studies AdS/CFT in its p-adic version (at the “finite place”) in the setting where the bulk geometry is made up of the Tate curve, a discrete quotient of the Bruhat-Tits tree. Generalizing a classic result due to Zabrodin, the boundary dual of the free massive bulk theory is explicitly derived. Introducing perturbative interactions, the Witten diagrams for the two-point and three-point correlators are computed for generic scaling dimensions at one-loop and tree level respectively. The answers obtained demonstrate how p-adic AdS/CFT on the Tate curve provides a useful toy model for real CFTs at finite temperature.