Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections

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.

arXiv comment35 pages, 7 figures, minor changes, published version

References in corpus (27)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• W-symmetry in Conformal Field Theory
• An AdS_3 Dual for Minimal Model CFTs
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Symmetries of Holographic Minimal Models
• Tensionless Strings and the Weak Gravity Conjecture
• Triality in Minimal Model Holography
• Higher Spins & Strings
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Large N=4 Holography
• Higher spin AdS_3 supergravity and its dual CFT
• Correlation Functions in Holographic Minimal Models
• Higher spin AdS_3 holography with extended supersymmetry
• Holographic Conformal Partial Waves as Gravitational Open Wilson Networks
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Conical defects and N=2 higher spin holography
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• 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
• Higgs phenomenon for higher spin fields on AdS_3
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• The masses of higher spin fields on AdS_4 and conformal perturbation theory

Cited by in corpus (20)

• Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
• Conformal blocks from Wilson lines with loop corrections
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Renormalization of gravitational Wilson lines
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Scalar Blocks as Gravitational Wilson Networks
• A note on the Virasoro blocks at order $1/c$
• On one loop corrections in higher spin gravity
• Superconformal blocks from Wilson lines with loop corrections
• More on Wilson toroidal networks and torus blocks
• Late time Wilson lines
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Chern-Simons Gravity Dual of BCFT
• Toda theory in AdS${}_2$ and $\mathcal{W}{A}_n$-algebra structure of boundary correlators
• Wilson lines construction of $\mathfrak{osp}(1|2)$ conformal blocks
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Wilson lines construction of ${\mathfrak{sl}}_3$ toroidal conformal blocks
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• Gravitational Wilson lines in AdS${}_3$