Proves that the undeformed relative \(\mathrm{SU}(N)\) BFSS model has exactly one normalizable zero-energy state for every finite N ≥ 2, resolving the threshold-bound-state conjecture. For \(\mathrm{SU}(2)\), 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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In The unique threshold bound state of the SU(N) BFSS model, 24 September 2026
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For every integer N\ge2,
The kernel consists of \Spin(9)-invariant states and is even in the fermion grading just specified.
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Why this passage is shown
Theorem 1.1
In The unique threshold bound state of the SU(N) BFSS model, 24 September 2026
Why this passage is shown
Theorem 1.1
In Positive eigenvalues of the relative SU(2) BFSS Hamiltonian, 5 October 2026