论文标题
de Sitter Universe的粒子
Particles of a de Sitter Universe
论文作者
论文摘要
Sitter时空是最大的对称时空。它是具有宇宙常数的爱因斯坦方程的真空解决方案之一。它是具有积极宇宙常数的解决方案,并描述了经历加速扩展的宇宙。在宇宙常数的可能迹象中,该解决方案与原始和延迟宇宙学有关。在零宇宙常数的情况下,对其等距组的表示的研究导致对粒子物理的更广泛理解。 $ d+1 $ dimensional de Sitter的等轴测组是$ SO(D+1,1)$的组,其表示形式众所周知。鉴于这种见解,我们可以通过探索$(4,1)$在宇宙学设置中表现出四个维度的自由度中的基本自由度?本文旨在总结沿这条线的最新进展,以使对宇宙常数的不同迹象的量子场理论和全息图更广泛地理解。特别关注$ SO(4,1)$表示的表现。讨论是通过指向后期边界的未来问题和静态贴片的结论,重点是表示。
The de Sitter spacetime is a maximally symmetric spacetime. It is one of the vacuum solutions to Einstein equations with a cosmological constant. It is the solution with a positive cosmological constant and describes a universe undergoing accelerated expansion. Among the possible signs for a cosmological constant, this solution is relevant for primordial and late-time cosmology. In the case of zero cosmological constant, studies on the representations of its isometry group have led to a broader understanding of particle physics. The isometry group of $d+1$-dimensional de Sitter is the group $SO(d+1,1)$, whose representations are well known. Given this insight what can we learn about the elementary degrees of freedom in a four dimensional de Sitter universe by exploring how the unitary irreducible representations of $SO(4,1)$ present themselves in cosmological setups? This article aims to summarize recent advances along this line that benefit towards a broader understanding of quantum field theory and holography at different signs of the cosmological constant. Particular focus is given to the manifestation of $SO(4,1)$ representations at the late-time boundary of de Sitter. The discussion is concluded by pointing towards future questions at the late-time boundary and the static patch with a focus on the representations.