2017/09/30 by Shotaro Shiba, Hirotaka Sugawara
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Current (fluid) #Current algebra #Intersection (aeronautics) #Motion (physics) #Noncommutative and Quantum Gravity Theories #Rank (graph theory) #Term (time) #hep-th
paper · pdf · doi:10.1142/s0217751x18500513
26 pages, 1 figure, v2: references and comments on general covariance added
openalex created_date 2017/10/06 · arxiv created 2017/10/09 · openalex publication_date 2018/03/08 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
Equations of motion for M2- and M5-branes are written down in the [Formula: see text] current algebra formulation of M-theory. These branes correspond to currents of the second and the fifth rank antisymmetric tensors in the [Formula: see text] representation, whereas the electric and magnetic fields (coupled to M2- and M5-branes) correspond to currents of the third and the sixth rank antisymmetric tensors, respectively. We show that these equations of motion have solutions in terms of the coordinates on M2- and M5-branes. We also discuss the geometric equations, and show that there are static solutions when M2- or M5-brane exists alone and also when M5-brane wraps around M2-brane. This situation is realized because our Einstein-like equation contains an extra term which can be interpreted as gravitational energy contributing to the curvature, thus avoiding the usual intersection rule.