Bootstrapping ground state correlators in matrix theory. Part I
Abstract The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite N at zero energy by imposing the supercharge equations of m...
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2025-01-01
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Online Access: | https://doi.org/10.1007/JHEP01(2025)190 |
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author | Henry W. Lin Zechuan Zheng |
author_facet | Henry W. Lin Zechuan Zheng |
author_sort | Henry W. Lin |
collection | DOAJ |
description | Abstract The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite N at zero energy by imposing the supercharge equations of motion. By exploiting SO(9) symmetry, we are able to consider single-trace operators involving words of length up to 9 using very modest computational resources. We interpret our initial results as strong evidence that the bootstrap method can efficiently access physics in the strongly coupled, infinite N regime. |
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id | doaj-art-eb5c8deac8884bd18cba448f08bf1772 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-eb5c8deac8884bd18cba448f08bf17722025-02-09T12:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112710.1007/JHEP01(2025)190Bootstrapping ground state correlators in matrix theory. Part IHenry W. Lin0Zechuan Zheng1Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite N at zero energy by imposing the supercharge equations of motion. By exploiting SO(9) symmetry, we are able to consider single-trace operators involving words of length up to 9 using very modest computational resources. We interpret our initial results as strong evidence that the bootstrap method can efficiently access physics in the strongly coupled, infinite N regime.https://doi.org/10.1007/JHEP01(2025)190M(atrix) TheoriesMatrix Models1/N Expansion |
spellingShingle | Henry W. Lin Zechuan Zheng Bootstrapping ground state correlators in matrix theory. Part I Journal of High Energy Physics M(atrix) Theories Matrix Models 1/N Expansion |
title | Bootstrapping ground state correlators in matrix theory. Part I |
title_full | Bootstrapping ground state correlators in matrix theory. Part I |
title_fullStr | Bootstrapping ground state correlators in matrix theory. Part I |
title_full_unstemmed | Bootstrapping ground state correlators in matrix theory. Part I |
title_short | Bootstrapping ground state correlators in matrix theory. Part I |
title_sort | bootstrapping ground state correlators in matrix theory part i |
topic | M(atrix) Theories Matrix Models 1/N Expansion |
url | https://doi.org/10.1007/JHEP01(2025)190 |
work_keys_str_mv | AT henrywlin bootstrappinggroundstatecorrelatorsinmatrixtheoryparti AT zechuanzheng bootstrappinggroundstatecorrelatorsinmatrixtheoryparti |