QFT In the literature: partially resolved

Does BFSS matrix theory recover eleven-dimensional Lorentz invariance

In plain words

A quantum mechanics of N by N matrices is conjectured to equal M-theory when N becomes infinite. Whether it reproduces full eleven-dimensional relativity beyond protected calculations is unknown.

Precise statement

The BFSS model, $SU(N)$ maximally supersymmetric quantum mechanics, is conjectured to describe M-theory in light-cone frame as $N \to \infty$ with $p^+ = N/R$. Determine whether its amplitudes (graviton scattering) reproduce 11D Lorentz-invariant results beyond terms protected by supersymmetry, i.e. whether the large-N limit at fixed $p^+$ exists and is boost invariant.

What would settle it

A large-N computation of an unprotected scattering amplitude in BFSS compared with 11D supergravity or M-theory.

Status in the literature

Unverified note

Agreement holds for supersymmetry-protected terms (1997-1998); work on soft theorems and scattering in BFSS (2023-2025) tests the large-N limit without a full answer.