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Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant

机译:三维最大群岛卡罗尔重力理论与宇宙常数

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In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on a new enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit.
机译:在这项工作中,我们通过考虑三个空间尺寸定义的麦克斯韦尔·克伦 - 西蒙斯重力理论的超相对论极限来提出三维麦克斯韦乐队重力。 我们表明,对于最不相对论的Maxwellian代数的不变张量是非堕落的,需要扩展MaxWellian Carroll对称性的延伸。 因此,我们讨论上述代数的起源和理论作为平坦限制。 我们表明,在消失的宇宙恒定限制下,具有宇宙恒定的理论设置,产生扩展的Maxwellian Carroll Chern-Simons Gravity基于Carroll对称的新的扩大延长版本。 实际上,后者展示了一种非退化不变的张量,允许正确构建Chern-Simons重力理论,其在平坦极限中再现延伸的Maxwellian Carroll Gravity。

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