Positive eigenvalues of the relative SU(2) BFSS Hamiltonian

We prove that the relative $\mathrm{SU}(2)$ BFSS Hamiltonian has infinitely many positive eigenvalues tending to infinity, with square-integrable eigenvectors. The operator is defined by closing the gauge-invariant supercharge form. This refutes, at N = 2, the exclusion of normalizable positive-energy states stated in the original BFSS paper.