Conformal blocks from Wilson lines with loop corrections

Abstract

We compute the conformal blocks of the Virasoro minimal model or its W${}_N$ extension with large central charge from Wilson line networks in a Chern-Simons theory including loop corrections. In our previous work, we offered a prescription to regularize divergences from loops attached to Wilson lines. In this paper, we generalize our method with the prescription by dealing with more general operators for $N=3$ and apply it to the identity W${}_3$ block. We further compute general light-light blocks and heavy-light correlators for $N=2$ with the Wilson line method and compare the results with known ones obtained using a different prescription. We briefly discuss general W${}_3$ blocks.

arXiv comment53 pages, 6 figures, v2: an appendix analyzing a general W${}_3$ block added, v3: minor changes, published version

References in corpus (57)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Aspects of Holographic Entanglement Entropy
• Solving the 3D Ising Model with the Conformal Bootstrap
• W-symmetry in Conformal Field Theory
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• An AdS_3 Dual for Minimal Model CFTs
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Symmetries of Holographic Minimal Models
• Triality in Minimal Model Holography
• A Stereoscopic Look into the Bulk
• Higher Spins & Strings
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Correlation functions in conformal Toda field theory I
• Large N=4 Holography
• Partition Functions of Holographic Minimal Models
• Higher spin AdS_3 supergravity and its dual CFT
• Correlation functions in conformal Toda field theory II
• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Higher Spin Entanglement and W_N Conformal Blocks
• Anti-de Sitter/CFT Correspondence in Three-Dimensional Supergravity
• Correlation Functions in Holographic Minimal Models
• Exact Virasoro Blocks from Wilson Lines and Background-Independent Operators
• Extended higher spin holography and Grassmannian models
• The semiclassical limit of W_N CFTs and Vasiliev theory
• Higher spin AdS_3 holography with extended supersymmetry
• An Exact Operator That Knows Its Location
• N=1 supersymmetric higher spin holography on AdS_3
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
• Holographic Conformal Partial Waves as Gravitational Open Wilson Networks
• Holographic conformal blocks from interacting Wilson lines
• Virasoro vacuum block at next-to-leading order in the heavy-light limit
• Matching four-point functions in higher spin AdS_3/CFT_2
• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
• N=1 extension of minimal model holography
• Structure constants in the N=1 superoperator algebra
• Correlators in W_N Minimal Model Revisited
• The large central charge limit of conformal blocks
• Quantization of conical spaces in 3D gravity
• Conical Defects in Higher Spin Theories
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Conical defects and N=2 higher spin holography
• On the N=1 super Liouville four-point functions
• Quantizing higher-spin gravity in free-field variables
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Elliptic recurrence representation of the N=1 superconformal blocks in the Ramond sector
• Scalar Blocks as Gravitational Wilson Networks
• Anomalous dimensions from quantum Wilson lines
• Spin-5 Casimir Operator and Its Three-Point Functions with Two Scalars
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• A view of the bulk from the worldline

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