A Simple Proof of the Chiral Gravity Conjecture

dc.creatorStrominger, Andrew
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:41Z
dc.date.available2026-07-07T09:54:41Z
dc.descriptionChiral gravity is three-dimensional asymptotically AdS3 gravity with an Einstein, cosmological, and Chern-Simons term at a critical value of the coupling denoted μ\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 μ\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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0808.0506
dc.identifierhttp://arxiv.org/abs/0808.0506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166408
dc.subjectHigh Energy Physics - Theory
dc.titleA Simple Proof of the Chiral Gravity Conjecture
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