On Supersymmetry of the Covariant 3-Algebra Model for M-Theory  

作　　者：Matsuo Sato 

机构地区：[1]Department of Natural Science, Faculty of Education, Hirosaki University, Hirosaki, Japan

出　　处：《Journal of Modern Physics》2012年第11期1813-1818,共6页现代物理（英文）

摘　　要：We examine a natural supersymmetric extension of the bosonic covariant 3-algebra model for M-theory proposed in [1]. It possesses manifest SO(1,10) symmetry and is constructed based on the Lorentzian Lie 3-algebra associated with the U(N) Lie algebra. There is no ghost related to the Lorentzian signature in this model. It is invariant under 64 supersymmetry transformations although the supersymmetry algebra does not close. From the model, we derive the BFSS matrix theory and the IIB matrix model in a large N limit by taking appropriate vacua.We examine a natural supersymmetric extension of the bosonic covariant 3-algebra model for M-theory proposed in [1]. It possesses manifest SO(1,10) symmetry and is constructed based on the Lorentzian Lie 3-algebra associated with the U(N) Lie algebra. There is no ghost related to the Lorentzian signature in this model. It is invariant under 64 supersymmetry transformations although the supersymmetry algebra does not close. From the model, we derive the BFSS matrix theory and the IIB matrix model in a large N limit by taking appropriate vacua.

关 键 词：M-THEORY 3-Algebra Matrix MODEL STRING Theory 

分 类 号：O1[理学—数学]