论文标题
M2 Branes和M理论背景的非依赖主义扩展
Nonrelativistic expansion of M2 branes and M theory backgrounds
论文作者
论文摘要
我们使用11D膜牛顿 - 卡丹（MNC）几何形状的概念对M理论的非层次膜解决方案进行系统分析，并考虑了M2 Brane World-Volume理论的嵌入领域的$ 1/c^2 $扩展。我们在$ 1/c $扩展中讨论了非顾问世界体积理论的相关提升和扩张对称性。我们表明，在静态仪表中，当沿着目标空间几何形状的纵向轴伸展非层次主义M2 brane的世界体积方向时，$ 1/c $扩展中的领先顺序动作变得琐碎。换句话说，非平凡的动态似乎仅在NLO及以后。在我们的分析中，我们仅关注此类嵌入，并获得与非同性主义世界体积理论相关的相应分散关系。
We initiate a systematic analysis of the nonrelativistic membrane solutions of M theory using the notion of 11d membrane Newton-Cartan (MNC) geometry as well as considering a $ 1/c^2 $ expansion for the embedding fields of the M2 brane world-volume theory. We discuss the associated boost and dilatation symmetries of the nonrelativistic world-volume theory at leading order in the $ 1/c $ expansion. We show that, in the static gauge, when the world-volume directions of the nonrelativistic M2 brane are stretched along the longitudinal axes of the target space geometry, the leading order action in the $ 1/c $ expansion becomes trivial. In other words, the nontrivial dynamics appears to be only at NLO and beyond. In our analysis, we focus on such embeddings only and obtain the corresponding dispersion relation associated with the nonrelativistic world-volume theory.
