Holographic CFTs on maximally symmetric spaces: correlators, integral transforms and applications

TL;DR

This paper explores the spectral and correlator structures of holographic conformal field theories on maximally symmetric spaces, introducing integral transforms and applications to boundary and pseudo-conformal universe models.

Contribution

It develops spectral representations and integral transforms for correlators in holographic CFTs on symmetric spaces, with applications to boundary CFTs and pseudo-conformal universe scenarios.

Findings

Derived integral transforms linking spectral and position space correlators.

Applied methods to holographic boundary CFTs and spacelike boundary CFTs.

Provided new insights into the structure of correlators in maximally symmetric spaces.

Abstract

We study one and two point functions of conformal field theories on spaces of maximal symmetry with and without boundaries and investigate their spectral representations. Integral transforms are found, relating the spectral decomposition to renormalized position space correlators. Several applications are presented, including the holographic boundary CFTs as well as spacelike boundary CFTs, which provide realizations of the pseudo-conformal universe.