  The BFSS matrix model relates flat space M-theory to a large N limit of
matrix quantum mechanics describing N 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.
