{{SOd,1}}-Invariant Yang–Baxter Operators and the dS-CFT CorrespondenceReport as inadecuate

{{SOd,1}}-Invariant Yang–Baxter Operators and the dS-CFT Correspondence - Download this document for free, or read online. Document in PDF available to download.

Communications in Mathematical Physics

pp 1–44

First Online: 27 July 2017Received: 27 August 2016Accepted: 24 May 2017


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 \{SOd,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 \{SOd,1}\. By analogy with the ON 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 \{\mathbb{R}^{d-1}}\, where SOd, 1 now acts by conformal transformations in Euclidean spacetime. These two theories can be viewed as dual to each other if we interpret \{\mathbb{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.

Communicated by D. Buchholz, K. Fredenhagen, Y. Kawahigashi.

Download to read the full article text

Author: Stefan Hollands - Gandalf Lechner

Source: https://link.springer.com/

Related documents