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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Structure Constants of Short Operators in Planar N=4 Supersymmetric Yang-Mills Theory
Benjamin Basso1, Alessandro Georgoudis1,2, Arthur Klemenchuk Sueiro1
1Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité, F-75005 Paris, France.
Abstract:
We present a conjecture for the three-point functions of single-trace operators in planar N=4 super-Yang-Mills theory at finite coupling, in the case where two operators are protected. Our proposal is based on the hexagon representation for structure constants of long operators, which we complete to incorporate operators of any length using data from the TBA-QSC formalism. We perform various tests of our conjecture, at weak and strong coupling, finding agreement with the gauge theory through 5 loops for the shortest three-point function and with string theory in the classical limit.
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