SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence

摘要: We propose a model for the dS/CFT correspondence. The is constructed in terms of "Yang-Baxter operator" $R$ unitary representations deSitter group $SO(d,1)$. This $R$-operator shown to satisfy Yang-Baxter equation, unitarity, as well certain analyticity relations, including particular crossing symmetry. With aid this operator we construct: a) A chiral (light-ray) conformal quantum field theory whose internal degrees freedom transform under given representation By analogy with $O(N)$ non-linear sigma model, CFT can be viewed propagating spacetime. b) (non-unitary) Euclidean on ${\mathbb R}^{d-1}$, where $SO(d,1)$ now acts by transformations (Euclidean) These two theories dual each other if interpret R}^{d-1}$ infinity Our constructions use semi-local generator fields defined and abstract methods from algebras.