Finite temperature at finite places

被引：0

作者：

Huang, An ^{[1
]}

Jepsen, Christian Baadsgaard ^{[2
]}

机构：

[1] Brandeis Univ, Dept Math, 415 South St, Waltham, MA 02453 USA

[2] Korea Inst Adv Study, Sch Phys, 85 Hoegiro, Seoul 02455, South Korea

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2025年 / 03期

关键词：

AdS-CFT Correspondence; Thermal Field Theory; Scale and Conformal Symmetries; Lattice Models of Gravity; STRINGS; FIELDS;

D O I：

10.1007/JHEP03(2025)097

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

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.

引用

页数：37