Description of curved spacetimes by finite-size matrices in the type IIB matrix model

[2606.24577] Description of curved spacetimes by finite-size matrices in the type IIB matrix model Skip to main content Search Submit Donate Log in High Energy Physics - Theory arXiv:2606.24577 (hep-th) [Submitted on 23 Jun 2026 ( v1 ), last revised 27 Aug 2026 (this version, v3)] Title: Description of curved spacetimes by finite-size matrices in the type IIB matrix model Authors: Keiichiro Hattori , Tatsuya Seko , Asato Tsuchiya View PDF HTML (experimental) Abstract: The type IIB matrix model is expected to give a nonperturbative formulation of superstring theory. Its covariant derivative interpretation provides a method to describe curved spacetimes in the model. There, matrices are identified with certain covariant derivatives which can be viewed as infinite-size matrices. Here, by using the Berezin-Toeplitz quantization, we develop a method to regularize these matrices as finite-size ones, which is needed to calculate quantum effects in the interpretation or in particular to apply the interpretation to the results of numerical simulations. As examples, we examine the cases of $T^{2n}$ and $S^2$ in detail. Comments: 48 pages, 2 figures Subjects: High Energy Physics - Theory (hep-th) Cite as: arXiv:2606.24577 [hep-th] (or arXiv:2606.24577v3 [hep-th] for this version) https://doi.org/10.48550/arXiv.2606.24577 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Prog Theor Exp Phys (2026) 083B01 Related DOI : https://doi.org/10.1093/ptep/ptag120 Focus to learn more DOI(s) linking to related resources Submission history From: Tatsuya Seko [ view email ] [v1] Tue, 23 Jun 2026 13:42:13 UTC (197 KB) [v2] Wed, 24 Jun 2026 01:41:46 UTC (197 KB) [v3] Thu, 27 Aug 2026 10:42:22 UTC (197 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 References & Citations INSPIRE HEP SciX 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)

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