2006/09/30 by H. Itoyama, H. Kihara, Hironobu Kihara +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Classical group #Combinatorics #Computer science #Diagrammatic reasoning #Gauge theory #Geometry #Lie group #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Partition (number theory) #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #Torus #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.11.001
published in Nuclear Physics B 762(3), 285-300 (Elsevier BV) · 17 pages, 6 figures, typos corrected, more comments included, to appear in Nuclear Physics B
arxiv created 2006/11/04 · openalex publication_date 2006/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We evaluate partition functions of matrix models which are given by topologically twisted and dimensionally reduced actions of d=4 N=1 super Yang-Mills theories with classical (semi-)simple gauge groups, SO(2N), SO(2N+1) and USp(2N). The integrals reduce to those over the maximal tori by semi-classical approximation which is exact in reduced models. We carry out residue calculus by developing a diagrammatic method, in which the action of the Weyl groups and therefore counting of multiplicities are explained obviously.