Non-Hermitian Holographic Flows to Little Rip Cosmologies
- URL: http://arxiv.org/abs/2607.14284v1
- Date: Wed, 15 Jul 2026 18:46:31 GMT
- Title: Non-Hermitian Holographic Flows to Little Rip Cosmologies
- Abstract summary: Spacelike singularities supported by matter satisfying the null energy condition (NEC) are expected to fall within the Belinski--Khalatnikov--Lifshitz paradigm.<n>We show that controlled violations of the NEC in holography can lead to different black hole interiors.<n>In a holographic model dual to a strongly coupled non-Hermitian $mathcalPT$-symmetric QFT, we uncover a novel non-Kasner regime within its real, $mathcalPT$-restored phase.
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- License: http://creativecommons.org/licenses/by/4.0/
- 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 $\mathcal{PT}$-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.
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