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Projective and amplified symmetries in metric–affine theories
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2021-06-01 , DOI: 10.1088/1361-6382/abed61
Alfonso Garca-Parrado 1 , Ettore Minguzzi 2
Affiliation  

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.



中文翻译:

度量仿射理论中的投影对称性和放大对称性

在本文中,我们将完全度量-仿射爱因斯坦-希尔伯特理论的射影对称性扩展到称为放大对称性的仿射连接空间中的新对称变换。我们证明了粒子物理标准模型的拉格朗日量在这种新的对称性下是不变的。我们还表明可以修改引力拉格朗日量,以便放大的对称性扩展到引力扇区,从而扩展到整个动作。如此构建的新理论被证明在动态上等同于爱因斯坦-嘉当的,尽管是真正的度量-仿射。

更新日期:2021-06-01
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