{"id":"openai-math/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian","pdf":"https://github.com/openai/math/blob/main/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026/positive-eigenvalues-relative-su2-bfss.pdf","url":"https://github.com/openai/math/tree/main/preprints/Positive-eigenvalues-of-the-relative-SU-2-BFSS-Hamiltonian-October-5-2026","tags":["mathematical-physics","matrix-models","spectral-theory"],"score":0,"title":"Positive eigenvalues of the relative SU(2) BFSS Hamiltonian","domain":"Mathematical physics","family":"270","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"We prove that the relative $`\\mathop{\\mathrm{SU}}\\nolimits (2)`$ 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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Threshold and positive-energy bound states of the BFSS matrix model"}