Semiclassical Virasoro blocks from AdS3 gravity
By E. Hijano, Per Kraus, Eric Perlmutter, River Snively. 2015
178 citations recorded by the source corpus.
A bstractWe present a unified framework for the holographic computation of Virasoro conformal blocks at large central charge. In particular, we provide bulk constructions that correctly reproduce all semiclassical Virasoro blocks that are known explicitly from conformal field theory computations. The results revolve around the use of geodesic Witten diagrams, recently introduced in [1], evaluated in locally AdS3 geometries generated by backreaction of heavy operators. We also provide an alternative computation of the heavy-light semiclassical block — in which two external operators become parametrically heavy — as a certain scattering process involving higher spin gauge fields in AdS3; this approach highlights the chiral nature of Virasoro blocks. These techniques may be systematically extended to compute corrections to these blocks and to interpolate amongst the different semiclassical regimes.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4ce29269ba834240b0153658a035c178a849bba1
How researchers see this paper
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In Astronomy and Astrophysics
- Eric Perlmutter
- Per Kraus
- E. Hijano
- Thomas Hartman
- River Snively
- Tarek Anous
- J. Sonner
- Antonin Rovai
In Nuclear and High Energy Physics
- Eric Perlmutter
- Per Kraus
- E. Hijano
- Thomas Hartman
- River Snively
- M. Gaberdiel
- Tarek Anous
- Rajesh Gopakumar
Citations in the corpus
- Black hole collapse in the 1/c expansion (2016, background): “(See also [12–15] for earlier work in this direction, and [16–39] for related developments and applications.”
- Witten diagrams revisited: the AdS geometry of conformal blocks (2015, methodology): “In this paper we focus on global conformal blocks (Virasoro blocks are of course special to CFT2), deferring the Virasoro case to a companion paper [34].”