Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
High Energy Physics - Theory
2017-12-01 v3
Abstract
We study the correlators of the 2d W_N minimal model in the semiclassical regime with large central charge from bulk viewpoint by utilizing open Wilson lines in sl(N) 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_N symmetry. With the prescription, we reproduce the conformal weight of the operator corresponding to a bulk scalar up to the two loop order for explicit examples with N=2,3.
Cite
@article{arxiv.1708.08657,
title = {Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections},
author = {Yasuaki Hikida and Takahiro Uetoko},
journal= {arXiv preprint arXiv:1708.08657},
year = {2017}
}
Comments
35 pages, 7 figures, minor changes, published version