Does BFSS matrix theory recover eleven-dimensional Lorentz invariance? · revision history
Revision 2
Accepted · cosmetic change · record
Changes against revision 1:
- Title · changed
- Revision 1: Does BFSS matrix theory recover eleven-dimensional Lorentz invariance
- Revision 2: Does BFSS matrix theory recover eleven-dimensional Lorentz invariance?
- Plain
- 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
- 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.
- Settled by
- A large-N computation of an unprotected scattering amplitude in BFSS compared with 11D supergravity or M-theory.
- Kind
- well-posed
- Answer type
- yes-no
- References
- (empty)
- Literature status
- partially-resolved
- Status 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.
- Posed since
- 1996
Decisions
- Accepted (cosmetic change) · 2026-10-15 · record