A Simple Proof of the Chiral Gravity Conjecture

Details A Simple Proof of the Chiral Gravity Conjecture A Simple Proof of the Chiral Gravity Conjecture

2008-08-04

arxiv.org/abs/0808.0506v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

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 under the right-moving conformal group. We show herein that at the chiral point, the group of trivial diffeomorphisms is enhanced to include the left-moving conformal transformations, and the asymptotic symmetry group contains only one (right-moving) copy of the conformal group. Diffeomorphism invariance then requires that all physical excitations are annihilated by left-moving conformal transformations, establishing nonperturbatively the chiral nature of chiral gravity.

Affiliated with

Also associated with

No associations

Rating

A Simple Proof of the Chiral Gravity Conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Simple Proof of the Chiral Gravity Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Simple Proof of the Chiral Gravity Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549120