Worldline approach to semi-classical conformal blocks

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.

arXiv comment20 pages, 1 figure

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Cited by in corpus (5)

• Virasoro vacuum block at next-to-leading order in the heavy-light limit
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• On skew tau-functions in higher spin theory
• A Quantum Correction To Chaos
• Conformal quantum mechanics and holographic quench