2016/04/30 by M. Aali-Javanangrouh, A. Rezaei-Aghdam
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Bialgebra #Black Holes and Theoretical Physics #Graded Lie algebra #Hopf algebra #Lie algebra #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #hep-th
paper · pdf · doi:10.1140/epjc/s10052-016-4477-y
published as Eur. Phys. J. C 76 (2016) 632 · 13 pages
openalex publication_date 2016/11/01 · arxiv created 2016/11/29 · arxiv updated 2016/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the concept of a 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475 , we construct a Bagger–Lambert–Gustavson (BLG) model for the M2-brane on a Manin triple of a special 3-Lie bialgebra. Then by using the correspondence and the relation between those 3-Lie bialgebra with Lie bialgebra, we reduce this model to an N=(4,4) WZW model (D2-brane), such that its algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by using the correspondence of the 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct the M2-brane from a D2-brane and vice versa.