PDE and mathematical physics · Oct 6, 2026
Threshold and positive-energy bound states of the BFSS matrix model
Proves that the undeformed relative BFSS model has exactly one normalizable zero-energy state for every finite N ≥ 2, resolving the threshold-bound-state conjecture. For , a companion proves infinitely many normalizable positive-energy eigenstates with unbounded energies, contradicting the original BFSS paper's exclusion of additional bound states at N = 2.
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