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Soft theorem from the full BFSS matrix model

Determine how the soft graviton theorem emerges directly from the full BFSS matrix theory, without relying on the large-distance one-loop effective field theory, by constructing and analyzing appropriate operators or observables that exhibit soft factorization within the complete matrix-model description.

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Background

The paper proves leading and subleading soft-factorization for vertex-like operators in the effective theory obtained by integrating out heavy modes at large distances. This approach demonstrates soft behavior for supergraviton-like composites, reinforcing the link between soft theorems and asymptotic symmetries in the BFSS context.

The authors point out that understanding the emergence of the soft theorem from the full matrix description—rather than from the effective field theory—would deepen insight into Matrix-theoretic structures, including emergent spacetime and symmetries, and could illuminate behavior away from the supergravity limit.

References

A few questions remain open. First, it would be interesting to study how the soft theorem emerges from the full matrix description of BFSS theory.

A Soft Theorem from vertex-like operators in BFSS Theory (2510.15488 - Laurenzano et al., 17 Oct 2025) in Conclusion (Section 6)