Holographic two-point functions for 4d log-gravity

TL;DR

This paper computes holographic two-point functions in four-dimensional log-gravity, revealing the structure of operators and their correlations consistent with a three-dimensional logarithmic conformal field theory.

Contribution

It provides the first detailed holographic calculation of two-point functions involving logarithmic operators in 4d log-gravity, connecting bulk gravity to LCFT boundary theories.

Findings

Two-point functions match LCFT expectations

Logarithmic gravitons source additional operators

Stress tensor one-point function vanishes for Einstein solutions

Abstract

We compute holographic one- and two-point functions of critical higher-curvature gravity in four dimensions. The two most important operators are the stress tensor and its logarithmic partner, sourced by ordinary massless and by logarithmic non-normalisable gravitons, respectively. In addition, the logarithmic gravitons source two ordinary operators, one with spin-one and one with spin-zero. The one-point function of the stress tensor vanishes for all Einstein solutions, but has a non-zero contribution from logarithmic gravitons. The two-point functions of all operators match the expectations from a three-dimensional logarithmic conformal field theory.