English

On M-Theory Embedding of Topologically Massive Gravity

High Energy Physics - Theory 2010-10-01 v4

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 \tilde\mu in D=3 to the M5-brane charge. The dimensionless quantity 3/(G\tilde \mu) is discrete and proportional to N, where N is the number of M5-branes.

Keywords

Cite

@article{arxiv.1001.2349,
  title  = {On M-Theory Embedding of Topologically Massive Gravity},
  author = {H. Lu and Zhao-Long Wang},
  journal= {arXiv preprint arXiv:1001.2349},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T14:34:38.086Z