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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Main Authors: Henry W. Lin, Zechuan Zheng
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
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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institution Kabale University
issn 1029-8479
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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