论文标题
量子重力的当前代数配方及其在宇宙学上的应用
Current Algebra Formulation of Quantum Gravity and Its Application to Cosmology
论文作者
论文摘要
基于当前代数的重力理论是制定的。规格原理而不是一般的协方差与等效原则在形式主义中起着关键作用，而后一种原理则是该理论的结果。在这种方法中，事实证明，衡量庞加莱代数是不合适的，但是衡量$ so（n，m）$代数给出了一致的理论。这使得通过旋转连接与tetrad场之间的关系来拥有抗DE保姆和DE Sitter时空。爱因斯坦方程是我们重力基本方程的一部分，它是根据自旋连接而写的。当将这种形式主义应用于$ e（11）$代数，其中三型反对称张量是重力多重的一部分时，我们具有基于M理论的当前代数重力理论，可以在其经典限制中应用于宇宙学。在不引入任何其他临时领域的情况下，我们可以在早期阶段以“膨胀”宇宙的方式获得加速的宇宙。
Gravity theory based on current algebra is formulated. The gauge principle rather than the general covariance combined with the equivalence principle plays the pivotal role in the formalism, and the latter principles are derived as a consequence of the theory. In this approach, it turns out that gauging the Poincaré algebra is not appropriate but gauging the $SO(N,M)$ algebra gives a consistent theory. This makes it possible to have Anti-de Sitter and de Sitter space-time by adopting a relation between the spin connection and the tetrad field. The Einstein equation is a part of our basic equation for gravity which is written in terms of the spin connection. When this formalism is applied to the $E(11)$ algebra in which the three-form antisymmetric tensor is a part of gravity multiplet, we have a current algebra gravity theory based on M-theory to be applied to cosmology in its classical limit. Without introducing any other ad-hoc field, we can obtain accelerating universe in the manner of the "inflating" universe at its early stage.
