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193. On massive gravity in three dimensions

This is a guest blog post by Olaf Hohm from the University of Groningen. Dmitry.

Dmitry kindly asked me to write about my recent paper with Eric Bergshoeff and Paul Townsend on massive gravity in three dimensions (0901.1766). In the last two years there has been quite some interest in three-dimensional gravity, most notably due to the paper by Witten in 2007 (0706.3359) and by Li, Song and Strominger last year (0801.4566). Both deal with the AdS/CFT correspondence in D=3 and the problem of counting the microscopic degrees of freedom of black holes (the so-called BTZ black holes) via some holographic dual in D=2. More precisely, Witten considers pure AdS gravity in D=3, while Strominger and collaborators investigate a “topologically massive” version. In our paper we present a new variant of D=3 gravity, which I will introduce in the following. For those who are not so familiar with three-dimensional gravity, let me first briefly review some basic facts.

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