DESY 13-201 UUITP-17/13 Computing Three-Point Functions for Short Operators Till Bargheer,1,2Joseph A. Minahan3and Raul Pereira3 1School of Natural Sciences, The Institute for Advanced Study Einstein Drive, Princeton, NJ 08540, USA 2DESY Theory Group, DESY Hamburg Notkestraße 85, D-22603 Hamburg, Germany 3Department of Physics and Astronomy, Uppsala University Box 520, SE-751 20 Uppsala, Sweden bargheer@ias.edu, joseph.minahan & raul.pereira@physics.uu.se Abstract We compute the three-point structure constants for short primary operators ofN= 4 super Yang–Mills theory to leading order in 1/√λby mapping the problem to a flat-space string theory cal- culation.We check the validity of our procedure by comparing to known results for three chiral primaries. We then compute the three-point functions for any combination of chiral and non-chiral primaries, with the non-chiral primaries all dual to string states at the first massive level. Along the way we find many cancellations that leave us with simple expressions, suggesting that integrability is playing an important role. arXiv:1311.7461v2 [hep-th] 14 Apr 2014
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