Phase transition in a doubly holographic model of closed dS2 spacetime

IF 4.8 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-10-03 DOI:10.1140/epjc/s10052-025-14817-3

Wen-Hao Jiang, Cheng Peng, Yun-Song Piao

引用次数: 0

Abstract

Double holography has been proved to be a powerful method in comprehending the spacetime entanglement. In this paper we investigate the doubly holographic construction in \({\mathrm {dS_{2}} }\) spacetime. We find that in this model there exists a new extremal surface besides the Hartman–Maldacena surface and the island surface, which could lead to a more complex phase structure. We then propose a generalized mutual entropy to interpret the phase transition. However, this extremal surface has a subtle property that the length of a part of the geodesic is negative when this saddle is dominant. This is because the negative part of the geodesic is within the horizon of the bulk geometry. We move to the \({\mathrm {AdS_{2}} }\) spacetime and find this subtlety still exists. We purpose a simple solution to this issue.

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封闭dS2时空双全息模型中的相变

双全息术已被证明是理解时空纠缠的有力方法。本文研究了\({\mathrm {dS_{2}} }\)时空中的双全息结构。我们发现，在该模型中，除了Hartman-Maldacena表面和岛屿表面之外，还存在一个新的极值表面，这可能导致更复杂的相结构。然后我们提出一个广义互熵来解释相变。然而，这个极值曲面有一个微妙的性质，当这个鞍形占主导地位时，测地线的一部分长度是负的。这是因为测地线的负部分在体几何的视界内。我们移动到\({\mathrm {AdS_{2}} }\)时空，发现这种微妙仍然存在。我们打算用一个简单的方法来解决这个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

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