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.

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

References in corpus (8)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Proper time to the black hole singularity from thermal one-point functions
• Thermodynamics of the BMN matrix model at strong coupling
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Bootstrapping Simple QM Systems
• A simple quantum system that describes a black hole

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• Bootstrapping SU(3) Lattice Yang-Mills Theory
• 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
• Bootstrapping Nonequilibrium Stochastic Processes