On M-Theory Embedding of Topologically Massive Gravity

Abstract

We show that topologically massive gravity can be obtained by the consistent Kaluza-Klein reduction from recently constructed seven-dimensional gravity with topological terms. The internal four-manifold should be Einstein with the Pontryagin four-form constantly proportional to the volume form. We also discuss the possible lift of the system to D=11. This enables us to connect the mass parameter \tildeμin D=3 to the M5-brane charge. The dimensionless quantity 3/(G\tilde μ) is discrete and proportional to N, where N is the number of M5-branes.

8 pages, no figures, references added, version appeared in Int.J.Mod.Phys.D

References in corpus (7)

• Massive Gravity in Three Dimensions
• Chiral Gravity in Three Dimensions
• Massive 3D Supergravity
• A new spin-2 self-dual model in $D=2+1$
• Unitarity of spin-2 theories with linearized Weyl symmetry in $D=2+1$
• Seven-Dimensional Gravity with Topological Terms
• Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term

Cited by in corpus (3)

• On the addition of torsion to chiral gravity
• Massive Three-Dimensional Supergravity From R+R^2 Action in Six Dimensions
• On Hybrid (Topologically) Massive Supergravity in Three Dimensions