论文标题
卡洛利亚重力理论中的渐近对称性，负宇宙常数
Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant
论文作者
论文摘要
在3+1个时空维度中分析了电宇宙常数$λ$的电和磁性引力理论的渐近对称性。在磁理论中，渐近对称性代数由三个维度的共形Carroll代数给出，这是无限二的，对BMS $ _ {4} $代数的同构。这些结果与全息预期完全一致，为研究“ Carrollian全息图”提供了一个新的框架。相反，在电理论的情况下，负$λ$的存在与一致的渐近条件不兼容，可以追溯到没有明智的基态构型。如果考虑从欧几里得一般相对论的电收缩获得的卡洛利亚理论，则可以改善这一点。在这种情况下，可以使用$ so \ so \ so \ sof（1,4 \右）$给出的渐近对称代数来构建渐近条件。然而，结果表明，该理论的球形对称解的空间是退化的。
Asymptotic symmetries of electric and magnetic Carrollian gravitational theories with a negative cosmological constant $Λ$ are analyzed in 3+1 space-time dimensions. In the magnetic theory, the asymptotic symmetry algebra is given by the conformal Carroll algebra in three dimensions, which is infinite-dimensional and isomorphic to the BMS$_{4}$ algebra. These results are in full agreement with holographic expectations, providing a new framework for the study of "Carrollian holography." On the contrary, in the case of the electric theory, the presence of a negative $Λ$ turns out to be incompatible with a consistent set of asymptotic conditions, that can be traced back to the absence of a sensible ground state configuration. This can be improved if the Carrollian theory obtained from an electric contraction of Euclidean General Relativity is considered. In this case, asymptotic conditions can be constructed with an asymptotic symmetry algebra given by $so\left(1,4\right)$. However, it is shown that the space of spherically symmetric solutions of this theory is degenerate.
