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Title: Three Point Functions in Higher Spin AdS3 Holography with 1/N Corrections
Authors: Hikida, Yasuaki
Uetoko, Takahiro
Author's alias: 疋田, 泰章
Keywords: conformal field theory
W algebra
AdS/CFT correspondence
higher spin gauge theory
Issue Date: 9-Oct-2017
Publisher: MDPI AG
Journal title: Universe
Volume: 3
Issue: 4
Thesis number: 70
Abstract: We examine three point functions with two scalar operators and a higher spin current in 2d W N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N corrections should be interpreted as quantum effects in the dual gravity theory. We develop a simple and systematic method to obtain three point functions by decomposing four point functions of scalar operators with Virasoro conformal blocks. Applying the method, we reproduce known results at the leading order in 1/N and obtain new ones at the next leading order. As confirmation, we check that our results satisfy relations among three point functions conjectured before.
Rights: © 2017 by the authors; licensee MDPI, Basel, Switzerland. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
URI: http://hdl.handle.net/2433/233679
DOI(Published Version): 10.3390/universe3040070
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