2008/05/31 by Imtak Jeon, Jongwook Kim, Nakwoo Kim +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic equation #Algebraic number #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential algebraic equation #Differential equation #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Theory of equations #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/07/056
published as JHEP 0807:056,2008 · 28+1 pages, No figure; v2 Sec.3.3 slightly expanded, typos fixed; v3 some comments added, to appear in JHEP
arxiv created 2008/06/25 · openalex publication_date 2008/07/10 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We classify, in a group theoretical manner, the BPS configurations in the multiple M2-brane theory recently proposed by Bagger and Lambert. We present three types of BPS equations preserving various fractions of supersymmetries: in the first type we have constant fields and the interactions are purely algebraic in nature; in the second type the equations are invariant under spatial rotation SO(2), and the fields can be time-dependent; in the third class the equations are invariant under boost SO(1,1) and provide the eleven-dimensional generalizations of the Nahm equations. The BPS equations for different number of supersymmetries exhibit the division algebra structures: octonion, quarternion or complex.