• Corpus ID: 17282060

# A Simple Proof of the Chiral Gravity Conjecture

@article{Strominger2008ASP,
title={A Simple Proof of the Chiral Gravity Conjecture},
author={Andrew Strominger},
journal={arXiv: High Energy Physics - Theory},
year={2008}
}
• A. Strominger
• Published 4 August 2008
• Mathematics
• arXiv: High Energy Physics - Theory
Chiral gravity is three-dimensional asymptotically AdS3 gravity with an Einstein, cosmological, and Chern-Simons term at a critical value of the coupling denoted \mu\ell=1. Ordinarily, excitations of AdS3 gravity are known to transform non-trivially under an asymptotic symmetry group consisting of both a left-moving and a right-moving conformal group. However it was recently conjectured in arXiv:0801.4566 that at the chiral point \mu\ell=1 all excitations are chiral in that they transform only…

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## References

SHOWING 1-10 OF 27 REFERENCES

### Brown-Henneaux's Canonical Approach to Topologically Massive Gravity

• Physics
• 2008
We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the

### Topologically Massive Gauge Theories

• Physics
• 1982
Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the

### Cosmological topologically massive gravitons and photons

• Physics
• 2008
We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS3 backgrounds are not only shifted from

### Topologically massive gravity at the chiral point is not unitary

• Physics
• 2008
A recent paper [1] claims that topologically massive gravity contains only chiral boundary excitations at a particular value of the Chern-Simons coupling. On the other hand, propagating bulk degrees

### Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

• Mathematics
• 1986
It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three

### Asymptotically anti–de Sitter spacetimes and scalar fields with a logarithmic branch

• Mathematics
• 2004
We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in $Dg~3$ dimensions. It

### Chiral gravity in three dimensions

• Physics
• 2008
Three dimensional Einstein gravity with negative cosmological constant ?1/?2 deformed by a gravitational Chern-Simons action with coefficient 1/? is studied in an asymptotically AdS3 spacetime. It is

### Holographic gravitational anomalies

• Physics
• 2006
In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the