ESK理论的Chern-Simons推广
Chern-Simons Extension of ESK Theory
摘要：
众所周知的爱因斯坦引力理论的陈-西蒙斯扩展是用一个平方曲率项加到线性曲率的希尔伯特拉格朗日量上来写的。在最近的一篇论文中，我们构造了两个Chern-Simons扩张，根据它们是由一个平方曲率项加到平方曲率的Stelle拉格朗日量上，还是由一个线性曲率项加到线性曲率的Hilbert拉格朗日量上[参考文献4]。前一种推广给出了可重正规化引力的拓扑推广，后一种推广给出了最小阶引力的拓扑推广。这最后一个理论将在这里写在它的扭转完成。然后，宇宙学和粒子物理学的后果将得到解决。
英文摘要：
The commonly-known Chern-Simons extension of Einstein gravitational theory is written in terms of a square-curvature term added to the linear-curvature Hilbert Lagrangian. In a recent paper, we constructed two Chern-Simons extensions according to whether they consisted of a square-curvature term added to the square-curvature Stelle Lagrangian or of one linear-curvature term added to the linear-curvature Hilbert Lagrangian [Ref. 4]. The former extension gives rise to the topological extension of the re-normalizable gravity, the latter extension gives rise to the topological extension of the least-order gravity. This last theory will be written here in its torsional completion. Then a consequence for cosmology and particle physics will be addressed.
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