{ "id": "1708.08657", "version": "v1", "published": "2017-08-29T09:30:28.000Z", "updated": "2017-08-29T09:30:28.000Z", "title": "Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections", "authors": [ "Yasuaki Hikida", "Takahiro Uetoko" ], "comment": "35 pages, 7 figures", "categories": [ "hep-th" ], "abstract": "We study the correlators of 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 operator corresponding to a bulk scalar up to the two loop order for explicit examples with N=2,3.", "revisions": [ { "version": "v1", "updated": "2017-08-29T09:30:28.000Z" } ], "analyses": { "keywords": [ "correlators", "holography", "higher spin current agree", "large central charge", "chern-simons gauge theory" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable" } } }