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Holographic dual of the five-point conformal block

Parikh, Sarthak (2019) Holographic dual of the five-point conformal block. Journal of High Energy Physics, 2019 (5). Art. No. 51. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20190509-094543993

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Abstract

We present the holographic object which computes the five-point global conformal block in arbitrary dimensions for external and exchanged scalar operators. This object is interpreted as a weighted sum over infinitely many five-point geodesic bulk diagrams. These five-point geodesic bulk diagrams provide a generalization of their previously studied four-point counterparts. We prove our claim by showing that the aforementioned sum over geodesic bulk diagrams is the appropriate eigenfunction of the conformal Casimir operator with the right boundary conditions. This result rests on crucial inspiration from a much simpler p-adic version of the problem set up on the Bruhat-Tits tree.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP05(2019)051DOIArticle
https://link.springer.com/article/10.1007/JHEP05%282019%29051PublisherArticle
https://arxiv.org/abs/1901.01267arXivDiscussion Paper
ORCID:
AuthorORCID
Parikh, Sarthak0000-0002-5831-3873
Additional Information:© 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: February 8, 2019; Accepted: April 23, 2019; Published: May 9, 2019. I thank C.B. Jepsen for valuable discussions and extensive collaboration during the early phases of this work, for helpful comments on an earlier version of the draft, and for collaboration on related projects.
Funders:
Funding AgencyGrant Number
SCOAP3UNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Conformal and W Symmetry
Issue or Number:5
Record Number:CaltechAUTHORS:20190509-094543993
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190509-094543993
Official Citation:Parikh, S. J. High Energ. Phys. (2019) 2019: 51. https://doi.org/10.1007/JHEP05(2019)051
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95367
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2019 17:15
Last Modified:11 Feb 2020 19:02

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