de Sitter symmetries and inflationary scalar-vector models

TL;DR

This paper explores the duality between scalar-vector field theories in de Sitter space and conformal field theories, with implications for inflationary cosmology and primordial perturbation calculations.

Contribution

It investigates conditions for conformal symmetry preservation in dual theories involving scalar and vector fields in de Sitter space, advancing the understanding of inflationary models.

Findings

Identifies conditions for conformal symmetry in dual theories.

Analyzes implications for correlation functions in inflation.

Provides framework for scalar-vector field interactions in de Sitter space.

Abstract

In this paper, we study the correspondence between a field theory in de Sitter space in $D$-dimensions and a dual conformal field theory in a euclidean space in $(D-1)$-dimensions. In particular, we investigate the form in which this correspondence is established for a system of interacting scalar and a vector fields propagating in de Sitter space. We analyze some necessary (but not sufficient) conditions for which conformal symmetry is preserved in the dual theory in $(D-1)$-dimensions, making possible the establishment of the correspondence. The discussion that we address on this paper is framed on the context of inflationary cosmology, so, the results obtained here pose some relevant possibilities of application to the calculation of the fields's correlation functions and of the primordial curvature perturbation $\zeta$, in inflationary models including coupled scalar and vector fields.