巴里西的超立方体,焦点空间挫折,以及近广告S_{2}/近CFT_{1}全息图
Micha Berkooz1, Yiyang Jia1, Navot Silberstein1
1Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 7610001, Israel.
Physical review letters
|March 8, 2024
概括
我们介绍了一个具有无序磁流的超立方体模型,相当于全息的双尺度萨赫德夫-耶-基塔耶夫 (DS-SYK) 模型. 这项工作提出了福克空间丧作为近AdS2/近CFT1全息学中量子模型的关键特征.
科学领域:
- 量子力学就是量子力学.
- 全息影像的使用方法.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 萨赫德夫-耶-基塔耶夫 (Sachdev-Ye-Kitaev,简称SYK) 模型是研究量子混沌和全息的关键理论工具.
- 接近AdS2/接近CFT1的对应性将反德西特空间中的引力理论与一维的符合场理论联系起来.
研究的目的:
- 确定一种具有与双尺度SYK (DS-SYK) 模型相似的相关函数的新型量子模型.
- 为了解近AdS2/近CFT1全息系统的微观特性建立一个更广泛的框架.
主要方法:
- 考虑一个单个粒子在一个无限维的超立方体上跳跃,带有无序的磁流.
- 将超立方体重新解释为福克空间图和磁流作为返回幅度中的挫折.
- 识别具有与DS-SYK模型相同的相关函数的可观测值.
主要成果:
- 超立方体模型表现出与DS-SYK模型相同的相关函数,使其适合近AdS2 /近CFT1全息.
- 超立方模型的哈密尔顿式不是p-local,与SYK模型形成鲜明对比.
- SYK模型被重新构建为一个带有挫折的Fock空间模型.
结论:
- 焦点空间挫折被提出为近AdS2/近CFT1显微镜的一般特征.
- 超立方体和DS-SYK模型是这种更广泛的表征的具体例子.
- 关于这些福克空间挫折的起源的猜测被启动.
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