论文标题
M理论来自F理论
M Theory from F Theory
论文作者
论文摘要
我们写下了$ gl（D+1）$（d对于字符串理论的维度）表现出基本的brane worldvolume当前的m理论代数描述，该描述由一对矢量字段$ x^m $和双2形$ x_ {mn {mn} $组成，与空间进行了参数，以供空间参数，并以自我模式进行分区的条件。 Brane本身的世界情绪是A（D+2）维度对象，并且分段后的背景时空具有尺寸（D+1）。我们总结了代数的特征。相应背景几何形状的字段内容，通常的Vielbein $ e_a {}^m $和3型$ a_ {mnp} $，可以通过求解正交性条件来识别为复合时空Vielbein的不同块。它们在规格转换下的行为也由复合Vielbein的相应规则决定。然后，通过求解f理论$ \ MATHCAL {V} $约束，我们减少了WorldVolume的数量，并显示了如何从F理论中恢复M理论。
We write down a $GL(D+1)$ (D for the dimension of string theory) manifest fundamental brane worldvolume current algebra description of M theory, which consists of a pair of vector field $X^m$ and dual 2-form field $X_{mn}$, compositing together to parametrize the spacetime, with a selfduality condition for sectioning. The worldvolume of the brane itself is a (D+2) dimensional object, and the background spacetime after sectioning has dimension (D+1). We summarize the features of the algebra. The field contents of the corresponding background geometry, the usual vielbein $e_a{}^m$ and the 3-form $A_{mnp}$, could be identified as different blocks of the composite spacetime vielbein, by solving the orthogonality condition. Their behaviour under gauge transformation are also determined by the corresponding rules of the composite vielbein. Then by solving F theory $\mathcal{V}$ constraints, we reduce the number of worldvolume and show how to recover M theory from F theory.
