Holographic Normal Ordering and Multi-particle States in the AdS/CFT Correspondence

Abstract

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such renormalizations are not equivalent to the standard normal ordering of current algebras in two dimensions. The correlators contain contact terms that contribute to the OPE; we relate them diagrammatically to correlation functions of compound composite operators dual to multi-particle states.

18 pages, one equation corr., further comments and refs. added

References in corpus (27)

• Gauge Theory Correlators from Non-Critical String Theory
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• The Holographic Bound in Anti-de Sitter Space
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Holographic Probes of Anti-de Sitter Spacetimes
• UV/IR Relations in AdS Dynamics
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Spinors and the AdS/CFT correspondence
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• On Four-point Functions in the CFT/AdS Correspondence
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• General Scalar Exchange in AdS_d+1
• Scattering in Anti-de Sitter Space and Operator Product Expansion
• Comments on 4-point functions in the CFT/AdS correspondence
• Gauge Boson Exchange in $Ad{S}_{d+1}$
• On the origin of supergravity boundary terms in the AdS/CFT correspondence
• Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence
• R-Current Correlators in N=4 Super Yang-Mills Theory from Anti-de Sitter Supergravity
• The large $N_c$ limit of four-point functions in N=4 super-Yang-Mills theory from anti-de Sitter Supergravity
• Antisymmetric tensor field on $Ad{S}_5$
• Quadratic action for type IIB supergravity on $Ad{S}_5\times S^5$
• String corrections to four point functions in the AdS/CFT correspondence
• The Perturbation Spectrum of Black Holes in N=8 Supergravity
• On short and long SU(2,2/4) multiplets in the AdS/CFT correspondence

Cited by in corpus (30)

• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• Spacetime and the Holographic Renormalization Group
• AdS/CFT 4-point functions: How to succeed at z-integrals without really trying
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Higher Dimensional Kerr-AdS Black Holes and the AdS/CFT Correspondence
• Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity
• More on correlators and contact terms in {\cal N}=4 SYM at order g^4
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
• The large $N_c$ limit of four-point functions in N=4 super-Yang-Mills theory from anti-de Sitter Supergravity
• Non-renormalization of two and three Point Correlators of N=4 SYM in N=1 Superspace
• On Harmonic Superspaces and Superconformal Fields in Four Dimensions
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• A Field-theoretical Interpretation of the Holographic Renormalization Group
• Consistency Conditions for Holographic Duality
• Superconformal Field Theories, Multiplet Shortening, and the AdS${}_5$/SCFT${}_4$ Correspondence
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence
• BCS Superconductivity in Quantum Critical Metals
• Superconformal interpretation of BPS states in AdS geometries
• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• A Regularization Scheme for the AdS/CFT Correspondence
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• Counterterm method and thermodynamics of Hairy Black Holes in a Vector-Tensor theory with Abelian gauge symmetry breaking
• The Intermediate Coupling Regime in the AdS/CFT Correspondence
• Constructing CFTs from AdS flows