论文标题
线性化重力和$ a_1^{+++} $代数的较高双重分配
Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
论文作者
论文摘要
已知基于$ a_1^{+++} $的非线性实现，可以用重力和双重重力来描述重力。我们将此分析扩展到线性化级别，以找到其所含重力的第一个更高二重要描述的运动方程。我们还提供了一种系统的方法，可以在非线性实现中找到超出非线性实现的其他字段，这些字段是为在非线性实现中为重力的所有可能的双重描述构建动作所必需的。我们表明，这些其他字段与$ a_1^{+++} \，$的第二个基本表示密切相关。
The non-linear realisation based on $A_1^{+++}$ is known to describe gravity in terms of both the graviton and the dual graviton. We extend this analysis at the linearised level to find the equations of motion for the first higher dual description of gravity that it contains. We also give a systematic method for finding the additional fields beyond those in the non-linear realisation that are required to construct actions for all of the possible dual descriptions of gravity in the non-linear realisation. We show that these additional fields are closely correlated with the second fundamental representation of $A_1^{+++}\,$.
