度量仿射理论中的投射对称性和放大对称性
Projective and amplified symmetries in metric-affine theories
摘要：
本文将完全度量仿射Einstein-Hilbert理论的射影对称性推广到仿射联络空间中的一种新的对称变换，称为放大对称性。我们证明了粒子物理学的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，引力拉格朗日量可以修改，使放大的对称性延伸到引力部门，从而整个行动。这样构造的新理论被证明是动态等价于爱因斯坦-嘉当的，但真正的度量仿射。
英文摘要：
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.
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