2017/02/06 by Seung-Joo Lee, Piljin Yi
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bound state #Computation #Function (biology) #Partition (number theory) #Partition function (quantum field theory) #Perspective (graphical) #Quantum #Random Matrices and Applications #Spectral Theory in Mathematical Physics #State (computer science) #hep-th
paper · pdf · doi:10.1007/jhep07(2017)046
38 pages
arxiv created 2017/02/06 · openalex created_date 2017/02/17 · openalex publication_date 2017/07/01 · arxiv updated 2017/08/02 · openalex updated_date 2026/08/05
We revisit the D0 bound state problems, of the M/IIA duality, with the Orientifolds. The cases of O4 and O8 have been studied recently, from the perspective of five-dimensional theories, while the case of O0 has been much neglected. The computation we perform for D0-O0 states boils down to the Witten indices for N=16 O(m) and Sp(n) quantum mechanics, where we adapt and extend previous analysis by the authors. The twisted partition function Ω, obtained via localization, proves to be rational, and we establish a precise relation between Ω and the integral Witten index ℐ, by identifying continuum contributions sector by sector. The resulting Witten index shows surprisingly large numbers of threshold bound states but in a manner consistent with M-theory. We close with an exploration on how the ubiquitous rational invariants of the wall-crossing physics would generalize to theories with Orientifolds.