Semiclassical Virasoro blocks from AdS3 gravity
Abstract
We 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. Finally, these techniques may be systematically extended to compute corrections to these blocks and to interpolate amongst the different semiclassical regimes.
- Authors:
-
- Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
- Princeton Univ., NJ (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1437225
- Grant/Contract Number:
- FG02-91ER40671; PHY-1313986; PHY11-25915
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal and W Symmetry
Citation Formats
Hijano, Eliot, Kraus, Per, Perlmutter, Eric, and Snively, River. Semiclassical Virasoro blocks from AdS3 gravity. United States: N. p., 2015.
Web. doi:10.1007/JHEP12(2015)077.
Hijano, Eliot, Kraus, Per, Perlmutter, Eric, & Snively, River. Semiclassical Virasoro blocks from AdS3 gravity. United States. https://doi.org/10.1007/JHEP12(2015)077
Hijano, Eliot, Kraus, Per, Perlmutter, Eric, and Snively, River. Mon .
"Semiclassical Virasoro blocks from AdS3 gravity". United States. https://doi.org/10.1007/JHEP12(2015)077. https://www.osti.gov/servlets/purl/1437225.
@article{osti_1437225,
title = {Semiclassical Virasoro blocks from AdS3 gravity},
author = {Hijano, Eliot and Kraus, Per and Perlmutter, Eric and Snively, River},
abstractNote = {We 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. Finally, these techniques may be systematically extended to compute corrections to these blocks and to interpolate amongst the different semiclassical regimes.},
doi = {10.1007/JHEP12(2015)077},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {Mon Dec 14 00:00:00 EST 2015},
month = {Mon Dec 14 00:00:00 EST 2015}
}
Web of Science
Figures / Tables:
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