On M-Theory Embedding of Topologically Massive Gravity

preprint2010arXivOpen access

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.

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