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 ⟨Tr X2⟩. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. Our best lower bounds are already a factor of ∼ 2 from existing Monte Carlo results.
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Acknowledgments
I thank Adam Brown, Yiming Chen, Masanori Hanada, Himanshu Khanchandani, Juan Maldacena, Victor Rodriguez, Stephen Shenker, and Xi Yin for discussions. Particular thanks to Stratos Pateloudis and the authors of [13] for sharing some of their Monte Carlo data.
I am supported financially by a Bloch Fellowship.
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Lin, H.W. Bootstrap bounds on D0-brane quantum mechanics. J. High Energ. Phys. 2023, 38 (2023). https://doi.org/10.1007/JHEP06(2023)038
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DOI: https://doi.org/10.1007/JHEP06(2023)038