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On the Polyakov-Mellin bootstrap

Gopakumar, Rajesh and Sinha, Aninda (2018) On the Polyakov-Mellin bootstrap. In: JOURNAL OF HIGH ENERGY PHYSICS (12).

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Official URL: https://doi.org/10.1007/JHEP12(2018)040

Abstract

We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach uses, as building blocks, Witten diagrams in AdS. We show the necessity for having contact Witten diagrams, in addition to the exchange ones, in two different contexts: a) the large c expansion of the holographic bootstrap b) in the E expansion at subleading orders to the ones studied already. In doing so, we use alternate simplified representations of the Witten diagrams in Mellin space. This enables us to also obtain compact, explicit expressions (in terms of a F-7(6) hypergeometric function!) for the analogue of the crossing kernel for Witten diagrams i.e., the decomposition into s-channel partial waves of crossed channel exchange diagrams.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to SPRINGER
Keywords: AdS-CFT Correspondence; Conformal Field Theory
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 28 Jan 2019 06:26
Last Modified: 28 Jan 2019 06:26
URI: http://eprints.iisc.ac.in/id/eprint/61451

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