Statut  Confirmé 
Série  STRINT 
Domaines  hepth 
Date  Vendredi 9 Mars 2018 
Heure  14:30 
Institut  LPTENS 
Salle  LPTENS Library 
Nom de l'orateur  Gromov 
Prenom de l'orateur  Nikolay 
Addresse email de l'orateur  
Institution de l'orateur  King's College London 
Titre  Quantum Spectral Curve and Structure Constants in N = 4 SYM: Cusps in the Ladder Limit 
Résumé  We give a pedagogical introduction to the Quantum Spectral Curve of N=4 SYM and discuss its applications to correlation functions. We find a massive simplification in the nonperturbative expression for the structure constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral Curve quantities, namely Qfunctions. Our calculation is done for the configuration of 3 cusps lying in the same plane with arbitrary angles in the ladders limit. This provides strong evidence that the Quantum Spectral Curve is not only a highly efficient tool for finding the anomalous dimensions but also encodes correlation functions with all wrapping corrections taken into account to all orders in the `t Hooft coupling. We also show how to study the insertions of scalars coupled to the Wilson lines and extend our result for the spectrum and the structure constant for these states. We discuss an OPE expansion of two cusps in terms of these states. Our results give additional support to the Separation of Variables strategy in solving the planar N = 4 SYM theory. 
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