论文标题
较高衍生引力的光谱作用方法
Spectral action approach to higher derivative gravity
论文作者
论文摘要
我们研究了较高衍生引力的光谱作用方法。这项工作着重于经典方面。我们将纯粹的引力作用的完整形式得出了6个衍生术语。我们还得出了相同的作用形式，这些形式可能在不同的应用中被证明是有用的，即riemann-和Weyl-prom-prom-prom-prom-prom-prom-prom-op-prom-op-主导的表示。光谱作用为理论的较高衍生部分提供了相当刚性的结构。我们讨论了这种僵化的可能后果。作为其中一个应用程序，我们在经典层面上检查保形背景是否在某种程度上是优选的，得出的结论是，在此级别上，没有明显的理由如此偏爱，$ s^1 \ times s^3 $在较早的作品中研究的是一种特殊情况。简要讨论了光谱作用给出的较高导数重力的其他可能特性。
We study the spectral action approach to higher derivative gravity. The work focuses on the classical aspects. We derive the complete and simplified form of the purely gravitational action up to the 6-derivative terms. We also derive the equivalent forms of the action, which might prove useful in different applications, namely Riemann- and Weyl-dominated representations. The spectral action provides a rather rigid structure of the higher derivative part of the theory. We discuss the possible consequences of this rigidness. As one of the applications, we check whether the conformal backgrounds are preferred in some way on the classical level, with the conclusion that at this level, there is no obvious reason for such a preference, the space $S^1 \times S^3$ studied in earlier works being a special case. Some other possible properties of the higher derivative gravity given by the spectral action are briefly discussed.
