Massive Bosons and the dS/CFT correspondence

TL;DR

This paper computes boundary two-point functions for massive spin 1 and 2 fields in de Sitter space, extending the S-Matrix approach, and discusses their conformal invariance within the dS/CFT correspondence.

Contribution

It extends the S-Matrix method to compute two-point functions for massive higher-spin fields in de Sitter space, emphasizing the role of Euclidean conformal group representations.

Findings

Two-point functions match conformal invariance requirements.

Results support the dS/CFT correspondence for higher-spin fields.

Highlights the importance of Euclidean conformal group in dS/CFT.

Abstract

We compute the boundary two point functions of operators corresponding to massive spin 1 and spin 2 de Sitter fields, by an extension of the ``S-Matrix'' approach developed for bulk scalars. In each case the two point functions are of the form required for conformal invariance of the dual boundary field theory. We emphasise that in the context of dS/CFT one should consider unitary representations of the Euclidean conformal group, without reference to analytic continuation of the boundary theory to Lorentzian signature.