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Three Graviton Scattering in M-Theory

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arxiv hep-th/9905183 v1 pith:VP7DJRFR submitted 1999-05-25 hep-th

classification hep-th
keywords gravitonleadings-matrixthreeapproachmatrixscatteringsupergravity
verification ladder T0 review T1 audit T2 compute T3 formal
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The leading eikonal S-matrix for three graviton scattering in d=11 supergravity and Matrix Theory are shown to precisely agree. The result unifies the source-probe plus recoil approach of Okawa and Yoneya and relaxes the restriction imposed by those authors that all D-particle impact parameters and velocities are mutually perpendicular. Furthermore, the unified S-matrix approach facilitates a clean-cut study of M-theoretic R^4 curvature corrections to the low energy supergravity effective action. In particular, the leading R^4 correction to the three graviton S-matrix is computed and compared to the corresponding next to leading order two loop U(3) amplitude in Matrix Theory. We find a clear disagreement of the two resulting tensor structures.

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Cited by 3 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. 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...

  3. 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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