Worldline approach to semi-classical conformal blocks
High Energy Physics - Theory
2015-04-27 v3
Abstract
We extend recent results on semi-classical conformal blocks in 2d CFT and their relation to 3D gravity via the AdS/CFT correspondence. We consider four-point functions with two heavy and two light external operators, along with the exchange of a light operator. By explicit computation, we establish precise agreement between these CFT objects and a simple picture of particle worldlines joined by cubic vertices propagating in asymptotically AdS geometries (conical defects or BTZ black holes). We provide a simple argument that explains this agreement.
Cite
@article{arxiv.1501.02260,
title = {Worldline approach to semi-classical conformal blocks},
author = {Eliot Hijano and Per Kraus and River Snively},
journal= {arXiv preprint arXiv:1501.02260},
year = {2015}
}
Comments
20 pages, 1 figure