论文标题

De Sitter Group及其在晚期边界的存在

The de Sitter group and its presence at the late-time boundary

论文作者

Sengor, Gizem

论文摘要

我们的主要目标是为SO表示理论(D+1,1)的某些良好属性提供介绍,以便那些考虑考虑到安慰剂空间中设定的物理问题的人。为此,我们审查了两个相互交织的地图,即用于构造互补串联表示形式的定义明确的内部产品以及构建复合表示涉及的地图Q的图G。我们给出了De Sitter的较晚边界的明确示例,内容涉及互补级数内部产品的实际使用,并通过统一主序列串联序列不可减至表示形式来构建张量的产品表示形式。

Our main goal here is to provide an introduction on some of the well established properties of the representation theory of SO(d+1,1), for those considering to think on physical problems set in de Sitter space in terms of these representations. With this purpose we review two intertwining maps, the map G that is used in constructing a well defined inner product for the complementary series representations and the map Q that is involved in constructing composite representations. We give explicit examples from the late-time boundary of de Sitter on the practical use of the complementary series inner product and in building a tensor product representation from unitary principal series irreducible representations.

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