论文标题
线性化Nordström重力和双自旋两个场理论的量规对称性
Gauge symmetry of linearised Nordström gravity and the dual spin two field theory
论文作者
论文摘要
提出了使用钩幼示影的第三级张量场的场方程。这些方程式描述了任何$ d \ geq 3 $中不可约的旋转两个无质量表示。结构的起点是爱因斯坦方程的线性化系统，其中包括Nordström方程。该方程无关紧要，与爱因斯坦系统的其余部分无关，与拓扑场理论相对应。一般解决方案是我们在本文中忽略的纯量规模式模式。我们找到了线性化的Nordström方程的还原量规变换的序列，钩张量为初始量规对称参数。通过将Nordström方程的一般解决方案取代到爱因斯坦系统的其余部分，我们到达了钩张量的场方程。自由度数量的程度证实，这是旋转两个理论。
The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two massless representation in any $d\geq 3$. The starting point of the construction is the linearised system of Einstein equations which includes the Nordström equation. This equation, being considered irrespectively to the rest of the Einstein system, corresponds to the topological field theory. The general solution is a pure gauge, modulo topological modes which we neglect in this article. We find the sequence of the reducible gauge transformations for the linearised Nordström equation, with the hook tensor being the initial gauge symmetry parameter. By substituting the general solution of the Nordström equation into the rest of the Einstein's system, we arrive at the field equations for the hook tensor. The degree of freedom number count confirms, it is the spin two theory.
