Non-Hermitian Holographic Flows to Little Rip Cosmologies
Abstract
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 𝒫𝒯-symmetric QFT, we uncover a novel non-Kasner regime within its real, 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.
Related
- Supergravity flows, wormholes and their pseudo-Hermitian holographic duals
- Holographic surface defect RG flows without supersymmetry
- Quasi-isotropic Asymptotic Expansions in Varying Speed of Light Cosmologies
- Attractors and initial-condition sensitivity in Horndeski cosmologies
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BibTeX
@misc{arean2026nonhermitian,
title = {{Non-Hermitian Holographic Flows to Little Rip Cosmologies}},
author = {Daniel Arean and David Garcia-Fariña and Juan F. Pedraza},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.14284},
eprint = {2607.14284},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14284},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-Hermitian Holographic Flows to Little Rip Cosmologies
AU - Daniel Arean
AU - David Garcia-Fariña
AU - Juan F. Pedraza
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2607.14284
UR - https://arxiv.org/abs/2607.14284
AB - 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 𝒫𝒯-symmetric QFT, we uncover a novel non-Kasner regime within its real, 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.
ER -