2003/08/31 by Rajesh Gopakumar
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.70.025009
published as Phys.Rev. D70 (2004) 025009 · 35 pages, 4 figures; v2: references added
arxiv created 2003/09/09 · openalex publication_date 2004/07/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Free N=4 super Yang-Mills theory (in the large-N limit) is dual to an, as yet, intractable closed string theory on AdS5\ifmmode×\else\texttimes\fiS5. We aim to implement open-closed string duality in this system and thereby recast the free-field correlation functions as amplitudes in AdS space. The basic strategy is to implement this duality directly on planar field theory correlation functions in the worldline (or first quantized) formulation. The worldline loops (remnants of the worldsheet holes) close to form tree diagrams. These tree diagrams are then to be manifested as tree amplitudes in AdS space by a change of variables on the worldline moduli space (i.e., Schwinger parameter space). Restricting to twist-2 operators, we are able to carry through this program for two- and three-point functions. However, it appears that this strategy can be implemented for four- and higher-point functions as well. An analogy to electrical networks is very useful in this regard.