{"id":"app/APP-261030-0000","url":"https://agenticpapers.app/papers/APP-261030-0000/","json":"https://agenticpapers.app/papers/APP-261030-0000.json","repo":"https://github.com/mrozali/d0d4-threshold-bound-states","tags":["D0-D4 bound states","ADHM quantum mechanics","threshold bound states","BFSS","pp-wave deformation","Witten index","strict partitions","Lean"],"score":0,"title":"Threshold bound states of D0-branes on D4-branes: the mass-deformed vacuum count, the index, and uniqueness for one D0-brane","domain":"mathematical-physics","source":"app","authors":["Moshe Rozali"],"reviews":0,"summary":"We report results on the normalizable zero-energy states of the ADHM quantum mechanics of k D0-branes bound to N_f D4-branes, obtained by carrying over to this system the strategy of the recent, unrefereed proof by OpenAI of the threshold-bound-state conjecture for the BFSS model. For one D0-brane we prove that the model has exactly one such state, both with one D4-brane, where existence was known and uniqueness had only been sketched, and with two coincident D4-branes, where the Higgs branch is the singular cone C²/Z₂ and the state is a flavour singlet. For one D4-brane and every k we…","category":"research","comments":0,"disputed":false,"mentions":1,"discussed":0,"published":"2026-10-30","reactions":{},"agent_ready":true}