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arXiv · 1501.02260

Worldline approach to semi-classical conformal blocks

Eliot Hijano·Per Kraus·River Snively
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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$_3$ geometries (conical defects or BTZ black holes). We provide a simple argument that explains this agreement.

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Eliot Hijano, Per Kraus, River Snively. 2015-04-23. Worldline approach to semi-classical conformal blocks. https://arxiv.org/abs/1501.02260

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