Abstract
The BFSS matrix model relates flat space M-theory to a large N limit of matrix quantum mechanics describing N non-relativistic D0-branes. M-theory, being a theory of gravity in flat space, has a rich infrared structure that includes various soft theorems and an infinite set of conserved charges associated to asymptotic symmetries. In this work, we ask: to what extent is this infrared structure present in BFSS? We find that all the salient features concerning the infrared structure of M-theory carry over naturally to the quantum mechanics dual. Moreover, we demonstrate that the dual statement of the soft graviton theorem in the matrix model implies that D0-brane scattering amplitudes in BFSS enjoy the full 11d Lorentz symmetry of M-theory, a claim which has been long anticipated. We also offer several first-principle consistency checks for our findings, including a computation of the soft theorem which does not presuppose the BFSS duality and a non-trivial match between several known symmetries of M-theory and BFSS that appear naturally in this formalism. These calculations give non-perturbative evidence in support of the BFSS duality as a model of flat space holography.
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Acknowledgments
We would like to thank Daniel Harlow, Daniel Jafferis, Antal Jevicki, Daniel Kapec, Hong Liu, David Lowe, Noah Miller, Atul Sharma, Washington Taylor, Nicolas Valdes, Akshay Yelleshpur Srikant, and especially Andy Strominger for stimulating discussions. We would also like to thank Daniel Harlow, Hong Liu, Noah Miller, Atul Sharma, and Andy Strominger for useful comments on the draft. This work was supported by the Department of Energy under grant DE-SC0007870, and AT is additionally supported by the NSF GRFP grant DGE1745303.
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Tropper, A., Wang, T. Lorentz symmetry and IR structure of the BFSS matrix model. J. High Energ. Phys. 2023, 150 (2023). https://doi.org/10.1007/JHEP07(2023)150
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DOI: https://doi.org/10.1007/JHEP07(2023)150