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Soft Gravitons in the BFSS Matrix Model

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arxiv 2208.14547 v1 pith:GAEDVVBW submitted 2022-08-30 hep-th

Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang This is my paper · ORCID
classification hep-th
keywords softlargematrixbfssgravitonsmodelquantumasymptotic
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector

    hep-th 2026-07 conditional novelty 7.0 of 10

    A group-theoretic algorithm computes U(N)-singlet Hamiltonian matrix elements as closed-form polynomials in N, validated for one matrix against the exact fermion mapping.

  2. Symmetries of the Celestial Supersphere

    hep-th 2024-12 conditional novelty 7.0 of 10

    The celestial sphere is extended to a supermanifold C^{1|N}, yielding universal supersymmetric extensions of the BMS and w_{1+8} symmetry algebras of flat-space quantum gravity.

  3. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

  4. A Soft Theorem from vertex-like operators in BFSS Theory

    hep-th 2025-10 conditional novelty 5.0 of 10

    In the large-distance effective theory of BFSS, graviton-like vertex operators are shown to have correlators that factorize in the soft limit at leading and subleading order, matching the predicted BFSS soft theorem.

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