English

Modes of Log Gravity

High Energy Physics - Theory 2011-06-02 v2

Abstract

The physical modes of a recently proposed D-dimensional "critical gravity", linearized about its anti-de Sitter vacuum, are investigated. All "log mode" solutions, which we categorize as `spin 2' or `Proca', arise as limits of the massive spin 2 modes of the non-critical theory. The linearized Einstein tensor of a spin 2 log mode is itself a 'non-gauge' solution of the linearized Einstein equations whereas the linearized Einstein tensor of a Proca mode takes the form of a linearized general coordinate transformation. Our results suggest the existence of a holographically dual logarithmic conformal field theory.

Keywords

Cite

@article{arxiv.1102.4091,
  title  = {Modes of Log Gravity},
  author = {Eric A. Bergshoeff and Olaf Hohm and Jan Rosseel and Paul K. Townsend},
  journal= {arXiv preprint arXiv:1102.4091},
  year   = {2011}
}

Comments

15 pages, v2 : references added, minor corrections + note added

R2 v1 2026-06-21T17:29:01.372Z