The de Sitter group and its presence at the late-time boundary
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.
Keywords
Cite
@article{arxiv.2206.04719,
title = {The de Sitter group and its presence at the late-time boundary},
author = {Gizem Sengor},
journal= {arXiv preprint arXiv:2206.04719},
year = {2022}
}
Comments
submitted to Proceedings of Science, Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" under the workshop on "Quantum Features in a de Sitter Universe"