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非厄米全息流向小撕裂宇宙学

Non-Hermitian Holographic Flows to Little Rip Cosmologies

Daniel Arean, David Garcia-Fariña, Juan F. Pedraza

arXiv 2607.14284首次发表:更新:

发表机构

Instituto de Física Teórica UAM/CSIC; Departamento de Física Teórica, Universidad Autónoma de Madrid(UAM/CSIC理论物理研究所; 马德里自治大学理论物理系)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究通过全息术中对零能量条件的可控违反,在非厄米全息模型中发现新的非卡斯纳 regime,其深层内部几何接近小撕裂宇宙学,能与标准情况区分,为小撕裂宇宙学提供全息实现及对应基础。

AI 中文摘要

由满足零能量条件(NEC)的物质所支持的类空奇点预计会落入别林斯基 - 哈拉特尼科夫 - 利夫希茨(BKL)范式。我们表明,全息术中对NEC的可控违反可导致不同的黑洞内部。在与强耦合非厄米$\mathcal{PT}$对称量子场论对偶的全息模型中,我们在其实的、$\mathcal{PT}$恢复相内发现了一种新的非卡斯纳 regime。深层内部几何描述了一个经历超加速膨胀并接近小撕裂的各向同性FLRW宇宙学。该 regime在双侧重算子关联函数上留下特征印记,使其能与标准卡斯纳内部区分开来。我们的构造为小撕裂宇宙学提供了具体的全息实现,并为小撕裂/CFT对应奠定了基础,其中此类宇宙学 regime可通过非厄米量子场论中的可观测量来探索。

英文摘要

Spacelike singularities supported by matter satisfying the null energy condition (NEC) are expected to fall within the Belinski--Khalatnikov--Lifshitz (BKL) paradigm. We show that controlled violations of the NEC in holography can lead to different black hole interiors. In a holographic model dual to a strongly coupled non-Hermitian $\mathcal{PT}$-symmetric QFT, we uncover a novel non-Kasner regime within its real, $\mathcal{PT}$-restored phase. The deep-interior geometry describes an isotropic FLRW cosmology undergoing super-accelerated expansion and approaching a Little Rip. This regime leaves a characteristic imprint on two-sided heavy-operator correlators, allowing it to be distinguished from a standard Kasner interior. Our construction provides a concrete holographic realization of a Little Rip cosmology and lays the groundwork for a Little Rip/CFT correspondence, in which such cosmological regimes can be explored through observables in a non-Hermitian quantum field theory.

Commentsv1: 33 pages, 7 figures. v2: references added

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