2000/07/31 by Jordi Molins, Joan Simón, Joan Simon · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1103/physrevd.62.125019
published as Phys.Rev. D62 (2000) 125019 · 16 pages, RevTex, no figures, 3 tables. Published version
openalex publication_date 2000/11/28 · arxiv created 2001/02/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of the present paper is twofold. In the first part, we provide an algebraic characterization of several families of \ensuremathν=1/2n n<~5 Bogomol'nyi-Prasad-Sommerfield (BPS) states in M theory, at threshold and non-threshold, by an analysis of the BPS bound derived from the N=1 D=11 super Poincar'e algebra. We determine their BPS masses and their supersymmetry projection conditions, explicitly. In the second part, we develop an algebraic formulation to study the way BPS states transform under GL(32,R) transformations, the group of automorphisms of the corresponding super Poincar'e algebra. We prove that all \ensuremathν=(1)/(2) non-threshold bound states are SO(32) related with \ensuremathν=(1)/(2) BPS states at threshold having the same mass. We provide further examples of this phenomena for less supersymmetric \ensuremathν=(1)/(4),(1)/(8) non-threshold bound states.