Static patch solipsism: conformal symmetry of the de Sitter worldline (Q2885416)

This paper is concerned with the holographic description of the static patch of de Sitter (dS) space-time, focussing particularly on the retarded Green's function of scalar fields and gravitons seen by a static observer.NEWLINENEWLINEThe central idea is to use the conformal relationship between dS times the real line and three-dimensional anti-de Sitter (adS) space-time times a sphere. Quasi-normal mode frequencies, corresponding to poles in the Green's function, come in two families in general and two \(\mathrm{SL}(2,\mathbb{R})\) algebras act as ladder operators on these families. This ``hidden'' \(\mathrm{SL}(2,\mathbb{R})\times \mathrm{SL}(2,\mathbb{R})\) symmetry is explored in some detail.NEWLINENEWLINEThe title of this paper is somewhat intriguing: what is meant by ``solipsism''? In simple terms, it is a type of gauge-fixing, whereby a single static observer is considered.