Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation

[2606.31724] Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation Skip to main content Search Submit Donate Log in High Energy Physics - Theory arXiv:2606.31724 (hep-th) [Submitted on 30 Jun 2026 ( v1 ), last revised 25 Aug 2026 (this version, v2)] Title: Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation Authors: Kazem Bitaghsir Fadafan , M. Reza Mohammadi Mozaffar View PDF HTML (experimental) Abstract: Following the holographic proposal that identifies the growth rate of Krylov complexity with the proper radial momentum of an infalling massive probe, we study Krylov complexity in Lifshitz and hyperscaling-violating backgrounds. For pure Lifshitz geometries, we find quadratic complexity growth for all values of the dynamical exponent. For hyperscaling-violating backgrounds, we show that the hyperscaling-violating exponent directly controls the late-time growth exponent, with a special limiting case exhibiting oscillatory behavior with a logarithmic envelope. We also extend our analysis to top-down string constructions, confirming the robustness of the scaling behaviors obtained in the bottom-up approach. Our analysis establishes that the momentum-Krylov correspondence extends naturally to non-relativistic holographic settings and remains well-defined despite the causal pathologies of Lifshitz spacetimes. Comments: 33 pages, 2 figures; v2: Substantially revised version with added field-theory comparison and top-down constructions, to appear in JHEP Subjects: High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph) Cite as: arXiv:2606.31724 [hep-th] (or arXiv:2606.31724v2 [hep-th] for this version) https://doi.org/10.48550/arXiv.2606.31724 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Mohammad Reza Mohammadi Mozaffar [ view email ] [v1] Tue, 30 Jun 2026 14:24:22 UTC (42 KB) [v2] Tue, 25 Aug 2026 05:03:17 UTC (120 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2026-06 Change to browse by: quant-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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