论文标题
固定空间上的尺寸氧化
Dimensional oxidization on coset space
论文作者
论文摘要
在字符串/M理论的矩阵模型方法中，一个从通用对称性$ gl（\ infty）$开始，以重现时空歧管。在本文中，我们考虑了时空歧管从规范对称代数出现的概括，该代数不一定是$ gl（\ infty）$。我们专注于环形紧凑型，coset空间$ g/h $之后的第二个非平凡示例，并提出了一种特定的无限二维对称性，以实现几何形状。它由固定的量规代数值组成，洛伦兹发电机对与等轴测图相关。我们表明，带有质量和Chern-simons项的$ 0 $维量规理论给出了与$ h $相关的标量字段的量表理论。
In the matrix model approaches of string/M theories, one starts from a generic symmetry $gl(\infty)$ to reproduce the space-time manifold. In this paper, we consider the generalization in which the space-time manifold emerges from a gauge symmetry algebra which is not necessarily $gl(\infty)$. We focus on the second nontrivial example after the toroidal compactification, the coset space $G/H$, and propose a specific infinite-dimensional symmetry which realizes the geometry. It consists of the gauge-algebra valued functions on the coset and Lorentzian generator pairs associated with the isometry. We show that the $0$-dimensional gauge theory with the mass and Chern-Simons terms gives the gauge theory on the coset with scalar fields associated with $H$.
