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arXiv · 2302.04416

Bootstrap bounds on D0-brane quantum mechanics

Henry W. Lin
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Abstract

We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski's virial theorem bound to finite energies and gives the first non-trivial bound on $\langle{\text{Tr}\, X^2\rangle}$. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. Our best lower bounds are already a factor of $\sim 2$ from existing Monte Carlo results.

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Henry W. Lin. 2023-04-30. Bootstrap bounds on D0-brane quantum mechanics. https://doi.org/10.1007/jhep06(2023)038

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