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The large Nc limit of four-point functions in N = 4 super-Yang-Mills theory from anti-de Sitter supergravity

1998/10/31 by Gordon Chalmers, Koenraad Schalm
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00275-8

published as Nucl.Phys. B554 (1999) 215-236 · 23 pages, latex, additional references and comments

arxiv created 1999/02/25 · openalex publication_date 1999/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the imaginary part of scalar four-point functions in the AdS/CFT correspondence relevant to N=4 super Yang-Mills theory. Unitarity of the AdS supergravity demands that the imaginary parts of the correlation functions factorize into products of lower-point functions. We include the exchange diagrams for scalars as well as gravitons and find explicit expressions for the imaginary parts of these correlators. In momentum space these expressions contain only rational functions and logarithms of the kinematic invariants, in such a manner that the correlator is not a free-field result. The simplicity of these results, however, indicate the possibility of additional symmetry structures in N=4 super Yang-Mills theory in the large Nc limit at strong effective coupling. The complete expressions may be computed from the integral results derived here.

Citations