Correlators in higher-spin AdS 3 holography from Wilson lines with loop corrections

Hikida, Yasuaki (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan) ; Uetoko, Takahiro (Department of Physical Sciences, College of Science and Engineering, Ritsumeikan University, Shiga 525-8577, Japan)

30 November 2017

Abstract: We study the correlators of the 2D W minimal model in the semiclassical regime with large central charge from the bulk viewpoint by utilizing open Wilson lines in Chern–Simons gauge theory. We extend previous works for the tree level of bulk theory to incorporate loop corrections in this paper. We offer a way to regularize divergences associated with loop diagrams such that three-point functions with two scalars and a higher-spin current agree with the values fixed by the boundary W symmetry. With the prescription, we reproduce the conformal weight of the operator corresponding to a bulk scalar up to two-loop order for explicit examples with .

Published in: PTEP 2017 (2017) 113B03
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptx154
arXiv: 1708.08657
License: CC-BY-3.0

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