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arXiv · 2206.04719

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

Gizem Sengor
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Abstract

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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Gizem Sengor. 2022-06-09. The de Sitter group and its presence at the late-time boundary. https://doi.org/10.22323/1.406.0356

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