Bootstrap bounds on D0-brane quantum mechanics

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 $⟨\text{Tr}{X}^2⟩$. 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.

arXiv comment9 pages, 3 figures + Appendices, v2: fixed typos and factors of 2's, new bound presented in Figure 3, added Appendix D

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• Bootstrapping Shape Invariance: Numerical Bootstrap as a Detector of Solvable Systems
• High-Precision Bootstrap of Multimatrix Quantum Mechanics
• Bootstrap Method in Theoretical Physics
• Bootstrapping periodic quantum systems
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