2011/02/28 by Eric A. Bergshoeff, Olaf Hohm, Jan Rosseel +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.83.104038
published as Phys.Rev.D83:104038,2011 · 15 pages, v2 : references added, minor corrections + note added
arxiv created 2011/03/16 · arxiv updated 2011/06/02
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.