The de Sitter group and its presence at the late-time boundary
| Autor: | Sengor, Gizem |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22323/1.406.0356 |
| Popis: | 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. Comment: 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" |
| Databáze: | arXiv |
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