Worldline approach to semi-classical conformal blocks

By E. Hijano, Per Kraus, River Snively. 2015

162 citations recorded by the source corpus.

A bstractWe 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 AdS3 geometries (conical defects or BTZ black holes). We provide a simple argument that explains this agreement.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ccfcc66e25f4756c71f33ad75d4ec08c501f6b11

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Eric Perlmutter
2. Per Kraus
3. E. Hijano
4. River Snively
5. J. Sully
6. L. Lamprou
7. Sam McCandlish
8. B. Czech

In Nuclear and High Energy Physics

1. Eric Perlmutter
2. Per Kraus
3. E. Hijano
4. River Snively
5. J. Sully
6. D. Harlow
7. L. Lamprou
8. Sam McCandlish

In Statistical and Nonlinear Physics

1. Eric Perlmutter
2. Per Kraus
3. E. Hijano
4. River Snively
5. J. Sully
6. L. Lamprou
7. Sam McCandlish
8. B. Czech

Citations in the corpus

• A stereoscopic look into the bulk (2016, background): “The holographic representation of conformal blocks was recently studied in detail in [20–22].”
• Virasoro conformal blocks and thermality from classical background fields (2015, unknown): “There is also a fascinating connection between conformal blocks and entanglement entropy at large central charge [28] which has recently led to increasingly rich matching of such e(cid:11)ects between gravity and (cid:12)eld theory computations [29, 31{33, 35, 37].”
• Semiclassical Virasoro blocks from AdS3 gravity (2015, methodology): “Partial results on bulk derivations of Virasoro blocks are already known [17–19], and we will incorporate and reproduce them here.”
• Witten diagrams revisited: the AdS geometry of conformal blocks (2015, result): “The ideas developed in this paper originated by thinking about the bulk representation of Virasoro conformal blocks in AdS3/CFT2, based on recent results in this direction [28–33].”