Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
arXiv:1708.08657 · doi:10.1093/ptep/ptx154
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.
35 pages, 7 figures, minor changes, published version
References in corpus (8)
- Symmetries of Holographic Minimal Models
- Higher Spins & Strings
- Higher spin AdS_3 holography with extended supersymmetry
- Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
- Anomalous dimensions from quantum Wilson lines
- Mellin-(Schwinger) representation of One-loop Witten diagrams in AdS
- Anomalous dimensions of higher spin currents in large N CFTs
- Three point functions in higher spin AdS_3 holography with 1/N corrections