论文标题
公制理论中的平等-ODD领域
On parity-odd sector in metric-affine theories
论文作者
论文摘要
我们承担涉及四维度量型重力曲率的二次均衡术语的构建。我们证明，只有12个线性独立的标量，再加上一个可以使用蓬松蛋白不变的量表。该部门的几个方便基础都以组件和差分形式表示法提供。我们还将我们的一般发现介绍了一些受约束的几何形状，例如Weyl-Cartan和兼容兼容的连接。
We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl-Cartan and metric-compatible connections.
