English

Holographic two-point functions for 4d log-gravity

High Energy Physics - Theory 2012-09-27 v3 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1205.5804,
  title  = {Holographic two-point functions for 4d log-gravity},
  author = {Niklas Johansson and Ali Naseh and Thomas Zojer},
  journal= {arXiv preprint arXiv:1205.5804},
  year   = {2012}
}

Comments

35 pages; v2: typos corrected, added reference; v3: shorter introduction, minor changes in the text in section 3, added reference; published version

R2 v1 2026-06-21T21:09:43.775Z