论文标题
衡量麦克斯韦扩展$ \ mathcal {gl} \ left（n，\ mathbb {r} \ right）$ and $ \ mathcal {sl} \ left（n+1，\ mathbb {r} \ right）
Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
论文作者
论文摘要
我们考虑通过在$ d $时空维度中采用麦克斯韦对称性来考虑通用线性和特殊线性代数的扩展。我们展示了如何通过适当的广义代数收缩来获得普通时空代数的各种麦克斯韦扩展。扩展的谎言代数可能在构建广义重力理论和夫妻对象的物体中很有用。我们还考虑了这些代数的重力动力学在重力理论的框架中。通过采用Stelle-West模型的对称性机制，我们提出了一些修饰的重力模型，这些模型包含四个维度的广义宇宙学恒定项。
We consider the extension of the general-linear and special-linear algebras by employing the Maxwell symmetry in $D$ space-time dimensions. We show how various Maxwell extensions of the ordinary space-time algebras can be obtained by a suitable contraction of generalized algebras. The extended Lie algebras could be useful in the construction of generalized gravity theories and the objects that couple to them. We also consider the gravitational dynamics of these algebras in the framework of the gauge theories of gravity. By adopting the symmetry-breaking mechanism of the Stelle-West model, we present some modified gravity models that contain the generalized cosmological constant term in four dimensions.
