Correlators in W_N Minimal Model Revisited

Abstract

In this paper, we study a class of sphere and torus correlation functions in the W_N minimal model. In particular, we show that a large class of exact sphere three-point functions of W_N primaries, derived using affine Toda theory, exhibit large N factorization. This allows us to identify some fundamental particles and their bound states in the holographic dual, including light states. We also derive the torus two-point function of basic primaries, by directly constructing the relevant conformal blocks. The result can then be analytically continued to give the Lorentzian thermal two-point functions.

61 pages, 21 figures; minor changes, explanations added

References in corpus (14)

• 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
• Chern-Simons Theory with Vector Fermion Matter
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography
• Correlation functions in conformal Toda field theory I
• Partition Functions of Holographic Minimal Models
• Quantum W-symmetry in AdS_3
• Partition functions of higher spin black holes and their CFT duals
• The Large N 't Hooft Limit of Coset Minimal Models
• Scalar fields and three-point functions in D=3 higher spin gravity
• A Matrix Model for Black Hole Thermalization
• Correlation Functions in Holographic Minimal Models
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars

Cited by in corpus (29)

• Higher Spins & Strings
• Bounding the Space of Holographic CFTs with Chaos
• Large N=4 Holography
• Duality in N=2 minimal model holography
• The semiclassical limit of W_N CFTs and Vasiliev theory
• N=1 supersymmetric higher spin holography on AdS_3
• Supersymmetric holography on AdS3
• W Symmetry and Integrability of Higher spin black holes
• Matching four-point functions in higher spin AdS_3/CFT_2
• Probing higher spin black holes from CFT
• Conformal blocks from Wilson lines with loop corrections
• N=1 extension of minimal model holography
• Three point functions in higher spin AdS_3 supergravity
• Perturbations of W(infinity) CFTs
• Higher Spins and Matter Interacting in Dimension Three
• A note on conical solutions in 3D Vasiliev theory
• Three-Point Functions in N=2 Higher-Spin Holography
• Conformal blocks of W_N Minimal Models and AGT correspondence
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• A semi-local holographic minimal model
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Field Theory of Primaries in W_N Minimal Models
• The Spectrum of Light States in Large N Minimal Models
• Chaos in Three-dimensional Higher Spin Gravity
• Double Trace Interfaces
• Higher-spin gauge theories in three spacetime dimensions
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography