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@article{faucris.263642207,
abstract = {We propose a model for the dS/CFT correspondence. The model is constructed in terms of a “Yang–Baxter operator” R for unitary representations of the de Sitter group SO(d, 1). This R-operator is shown to satisfy the Yang–Baxter equation, unitarity, as well as certain analyticity relations, including in particular a crossing symmetry. With the aid of this operator we construct: (a) a chiral (light-ray) conformal quantum field theory whose internal degrees of freedom transform under the given unitary representation of SO(d, 1). By analogy with the O(N) non-linear sigma model, this chiral CFT can be viewed as propagating in a de Sitter spacetime. (b) A (non-unitary) Euclidean conformal quantum field theory on R^{d} ^{-} ^{1}, where SO(d, 1) now acts by conformal transformations in (Euclidean) spacetime. These two theories can be viewed as dual to each other if we interpret R^{d} ^{-} ^{1} as conformal infinity of de Sitter spacetime. Our constructions use semi-local generator fields defined in terms of R and abstract methods from operator algebras.},
author = {Hollands, Stefan and Lechner, Gandalf},
doi = {10.1007/s00220-017-2942-6},
faupublication = {no},
journal = {Communications in Mathematical Physics},
month = {Jan},
note = {CRIS-Team Scopus Importer:2021-09-07},
pages = {159-202},
peerreviewed = {Yes},
title = {{SO}(d, 1) -{Invariant} {Yang}–{Baxter} {Operators} and the {dS}/{CFT} {Correspondence}},
volume = {357},
year = {2018}
}