On the Fairlie's Moyal formulation of M(atrix)- theory
| Autor: | Bouchra Maroufi, Mohamed Bennai, Smb Sedra, CED Ibn Tofail, Hamid CHAKIR |
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| Rok vydání: | 2000 |
| Předmět: |
High Energy Physics - Theory
Physics M-theory Nuclear and High Energy Physics Equations of motion FOS: Physical sciences Astronomy and Astrophysics Supersymmetry Atomic and Molecular Physics and Optics Poisson bracket High Energy Physics - Theory (hep-th) Simple (abstract algebra) Nahm equations Algebraic analysis Ansatz Mathematical physics |
| DOI: | 10.48550/arxiv.hep-th/0007155 |
| Popis: | Starting from the Moyal formulation of M-theory in the large N-limit, we propose to reexamine the associated membrane equations of motion in 10 dimensions formulated in terms of Poisson bracket. Among the results obtained, we rewrite the coupled first order Nahm's equations into a simple form leading in turn to their systematic relation with $SU(\infty)$ Yang Mills equations of motion. The former are interpreted as the vanishing condition of some conserved currents which we propose. We develop also an algebraic analysis in which an ansatz is considered and find an explicit form for the membrane solution of our problem. Typical solutions known in literature can also emerge as special cases of the proposed solution Comment: 16 pages |
| Databáze: | OpenAIRE |
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