D-Dimensional Log Gravity

Abstract

We study Einstein gravity in dimensions $D\ge 4$ modified by curvature squared at critical point where the theory contains only massless gravitons. We show that at the critical point a new mode appears leading to a logarithmic gravity in the theory. The corresponding logarithmic solution may provide a gravity description of logarithmic CFT in higher dimensions. We note also that for special values of the parameters of the theory, the model admits solutions with non-relativistic isometries.

9 pages; V2: a reference added; V3: (Published version) Minor corrections, Ref. added

References in corpus (6)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Critical Gravity in Four Dimensions
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Critical Points of D-Dimensional Extended Gravities
• AdS Waves as Exact Solutions to Quadratic Gravity
• Modes of Log Gravity

Cited by in corpus (6)

• Critical Gravity in Four Dimensions
• AdS Waves as Exact Solutions to Quadratic Gravity
• Modes of Log Gravity
• Ghosts of Critical Gravity
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space