Bootstrapping Ground State Correlators in Matrix Theory, Part I

Henry W. Lin; Zechuan Zheng

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arXiv · 2410.14647

Bootstrapping Ground State Correlators in Matrix Theory, Part I

Henry W. Lin·Zechuan Zheng

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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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Henry W. Lin, Zechuan Zheng. 2024-10-18. Bootstrapping Ground State Correlators in Matrix Theory, Part I. https://arxiv.org/abs/2410.14647

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