M2- and M5-branes in E11 Current Algebra Formulation of M-theory
M2- and M5-branes in E11 Current Algebra Formulation of M-theory
复制标题
E11 M 理论的当前代数公式中的 M2- 和 M5-膜
DOI：
10.1142/s0217751x18500513
复制
发表时间：
2018
影响因子：
1.6
通讯作者：
Shotaro Shiba and Hirotaka Sugawara
中科院分区：
文献类型：
--
作者：
水野俊太郎;Sirachak Panpanich;前田恵一;Shotaro Shiba and Hirotaka Sugawara
M2-膜和m5膜的运动方程用当前的m理论代数公式表示。这些膜对应于第二和第五阶反对称张量的电流，而电场和磁场（耦合到M2-和m5膜）分别对应于第三和第六阶反对称张量的电流。我们证明了这些运动方程在M2-和m5膜上的坐标下有解。我们还讨论了几何方程，并证明了当M2-或m5 -膜单独存在以及当m5 -膜缠绕在M2-膜上时存在静态解。这种情况之所以得以实现，是因为我们的类爱因斯坦方程包含了一个额外的项，它可以被解释为引力能对曲率的贡献，从而避免了通常的相交规则。
Equations of motion for M2- and M5-branes are written down in thecurrent algebra formulation of M-theory. These branes correspond to currents of the second and the fifth rank antisymmetric tensors in therepresentation, 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.