Holographic normal ordering and multiparticle states in the AdS-CFT correspondence

1999/01/31 by Gordon Chalmers, Koenraad Schalm · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Computer science #Conformal field theory #Conformal map #Field (mathematics) #Field theory (psychology) #Gauge (firearms) #Gauge theory #Holography #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum field theory #Quantum mechanics #Space (punctuation) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.61.046001

published as Phys.Rev.D61:046001,2000 · 18 pages, one equation corr., further comments and refs. added

arxiv created 1999/03/08 · openalex publication_date 2000/01/25 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• The Perturbation Spectrum of Black Holes in N=8 Supergravity
• Gauge boson exchange in AdSd+1
• The large Nc limit of four-point functions in N = 4 super-Yang-Mills theory from anti-de Sitter supergravity
• A cutoff procedure and counterterms for differential renormalization
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Holographic probes of anti–de Sitter spacetimes
• The Holographic Bound in Anti-de Sitter Space
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• On the origin of supergravity boundary terms in the AdS /CFT correspondence
• The large N limit of superconformal field theories and supergravity

Cited by

• Intermediate coupling regime in the AdS/CFT correspondence