论文标题
消失的noether电流在韦尔不变重力中
Vanishing Noether Current in Weyl Invariant Gravities
论文作者
论文摘要
我们重新审视了与局部规模符号相关的Noether电流或等效的Weyl对称性相同的问题。仅基于仅针对局部对称性的第二个Noether定理，我们证明与Weyl对称性相关的Noether电流通常在四个维riemannian几何形状中的任何Weyl不变的引力理论中消失。我们还阐明了这样的原因：Weyl转换是非动力的，因为它不包含转换参数的派生项，而不是传统的仪表转换。最后，我们将此结果应用于一个通用的Weyl不变重力的量子理论，并得出与合唱对称性相关的电流，这是$ iosp（10 | 10）$ supersymmetry。
We revisit the issue that the Noether current associated with a local scale symmtery, or equivalently the Weyl symmetry, identically vanishes. Based on only the second Noether theorem for a local symmetry, we prove that the Noether current associated with the Weyl symmetry is in general vanishing in any Weyl invariant gravitational theories in four dimensional Riemannian geometry. We also clarify the reason: The Weyl transformation is non-dynamical in the sense that it does not contain the derivative term of the transformation parameter as opposed to the conventional gauge transformation. Finally, we apply this result to a quantum theory of a general Weyl invariant gravity and derive currents associated with choral symmetry, which is the $IOSp(10|10)$ supersymmetry.
