论文标题
公制式理论中的投影和放大对称性
Projective and amplified symmetries in metric-affine theories
论文作者
论文摘要
在本文中，我们将完整度量的爱因斯坦 - 希尔伯特理论的投影对称性扩展到了仿射连接空间中的新对称性转换，称为放大对称性。我们证明，在这种新的对称性下，粒子物理标准模型的拉格朗日是不变的。我们还表明，可以修改引力拉格朗日，以便放大对称性扩展到引力部门，从而扩展到整个动作。如此构建的新理论在动态上等同于爱因斯坦 - 卡丹的真实度量。
In this paper we extend the projective symmetry of the full metric-affine Einstein-Hilbert theory to a new symmetry transformation in the space of affine connections called the amplified symmetry. We prove that the Lagrangian of the Standard Model of particle physics is invariant under this new symmetry. We also show that the gravitational Lagrangian can be modified so that the amplified symmetry extends to the gravitational sector and hence to the whole action. The new theory so constructed is shown to be dynamically equivalent to Einstein-Cartan's though genuinely metric-affine.
