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Soft theorems for BFSS gravitino and three-form and their asymptotic symmetries

Establish soft theorems for the BFSS degrees of freedom corresponding to the eleven-dimensional gravitino and the three-form gauge field, and determine the associated asymptotic symmetry charges and Ward identities in Matrix Theory.

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Background

The analysis in the paper focuses on graviton-like vertex operators and derives soft-factorization at leading and subleading orders within the effective large-distance theory, connecting to asymptotic symmetries. Extending these results to other supergravity fields would broaden the understanding of soft physics and symmetry realization in BFSS.

Specifically, identifying soft theorems for the gravitino and the three-form field in Matrix Theory, and clarifying their relation to asymptotic symmetries, would complete the soft-theorem picture for the full 11D supergravity multiplet within the BFSS framework.

References

A few questions remain open. It would also be interesting to investigate the realisation of soft theorems for the gravitino and three-form field in BFSS and their connection to asymptotic symmetries.

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