德西特楔形全息术中的有效动力学与量子信息
Effective dynamics and quantum information in de Sitter wedge holography
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中文总结 AI 辅助
研究德西特楔形设置中的余维二全息术，通过特定构型与共形场论对偶，计算配分函数等支持对偶性，分析质量谱、验证纠缠熵定律，利用岛规则研究佩奇曲线。
中文摘要 AI 辅助
本文基于楔形全息术的思想，研究德西特（dS）楔形设置中的余维二全息术。考虑一个由两个具有d维德西特几何的世界末日膜界定的d + 1维反德西特（AdS）体时空。提出这种构型与生活在d - 1维球面上的共形场论（CFT）全息对偶。对配分函数和全息纠缠熵的计算支持了这种对偶性，并表明对偶CFT是非幺正的。还分析了德西特楔形全息术中的质量谱，在该框架内验证了纠缠熵的第一定律。最后，利用岛规则在德西特楔形全息术框架内的简化模型中研究了佩奇曲线。
英文摘要
In this paper, we study codimension-two holography in a de Sitter (dS) wedge setup, based on the idea of wedge holography. We consider a $d+1$-dimensional Anti-de Sitter (AdS) bulk spacetime bounded by two end-of-the-world branes with $d$-dimensional de Sitter geometry. We propose that this configuration is holographically dual to a conformal field theory (CFT) living on a $d-1$-dimensional sphere. Our computations of the partition function and holographic entanglement entropy support this duality and indicate that the dual CFT is non-unitary. We also analyze the mass spectrum in dS wedge holography. We verify the first law of entanglement entropy within this framework. Finally, we make use of the island prescription to study the Page curve in a simplified model within our dS wedge holography framework.
