Semiclassical Virasoro blocks from AdS3 gravity

Hijano, Eliot; Kraus, Per; Perlmutter, Eric; Snively, River

doi:10.1007/JHEP12(2015)077

Title: Semiclassical Virasoro blocks from AdS₃ gravity

Journal Article · Mon Dec 14 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2015)077· OSTI ID:1437225

Hijano, Eliot ^[1]; Kraus, Per ^[1]; Perlmutter, Eric ^[2]; Snively, River ^[1]

Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Princeton Univ., NJ (United States). Dept. of Physics

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.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40671; PHY-1313986; PHY11-25915

OSTI ID:: 1437225

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 94 works

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Entanglement, holography and causal diamonds de Boer, Jan; Haehl, Felix M.; Heller, Michal P. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/jhep08(2016)162	journal	August 2016
Probing thermality beyond the diagonal Brehm, Enrico M.; Das, Diptarka; Datta, Shouvik Physical Review D, Vol. 98, Issue 12 https://doi.org/10.1103/physrevd.98.126015	journal	December 2018
Higher-point conformal blocks and entanglement entropy in heavy states Banerjee, Pinaki; Datta, Shouvik; Sinha, Ritam ETH Zurich https://doi.org/10.3929/ethz-b-000117244	text	January 2016
Probing thermality beyond the diagonal M., Brehm, Enrico; Diptarka, Das,; Shouvik, Datta, ETH Zurich https://doi.org/10.3929/ethz-b-000314687	text	January 2018
Hawking from Catalan Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. arXiv https://doi.org/10.48550/arxiv.1510.00014	text	January 2015
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Holographic interpretation of 1-point toroidal block in the semiclassical limit Alkalaev, K. B.; Belavin, V. A. arXiv https://doi.org/10.48550/arxiv.1603.08440	text	January 2016
On Information Loss in AdS$_3$/CFT$_2$ Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang arXiv https://doi.org/10.48550/arxiv.1603.08925	preprint	January 2016
A Stereoscopic Look into the Bulk Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel arXiv https://doi.org/10.48550/arxiv.1604.03110	text	January 2016
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Title: Semiclassical Virasoro blocks from AdS3 gravity

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