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DOE OSTI · 2576163

Soft gravitons in the BFSS matrix model

Miller, Noah·Strominger, Andrew·Tropper, Adam·Wang, Tianli
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Abstract

BFSS proposed that asymptotically flat M-theory is dual to a large N limit of the matrix quantum mechanics describing N nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically flat space are applied to the BFSS matrix model. It is shown that soft gravitons are realized by submatrices whose rank is held fixed in the large N M-theory limit, rather than the usual linear scaling with N for hard gravitons. The soft expansion is identified with the large N expansion and the soft theorem becomes a universal formula for the quantum mechanical scattering of such submatrix excitations. This formula is shown to be the Ward identity of large type IIA U(1) RR asymptotic gauge symmetry in the matrix model, whose asymptotic boundaries are at future and past timelike infinity.

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1/N Expansion72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSClassical and Quantum GravityD-BranesGeneral RelativityGravitational PhysicsM-TheoryMatrix TheoryPhysicsScattering AmplitudesSoft and Granular MatterString Theory

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Miller, Noah, Strominger, Andrew, Tropper, Adam, Wang, Tianli. 2023-11-24. Soft gravitons in the BFSS matrix model. https://doi.org/10.1007/jhep11(2023)174

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