Clustering and the Three-Point Function

Abstract : We develop analytical methods for computing the structure constant for three heavy operators, starting from the recently proposed hexagon approach. Such a structure constant is a semiclassical object, with the scale set by the inverse length of the operators playing the role of the Planck constant. We reformulate the hexagon expansion in terms of multiple contour integrals and recast it as a sum over clusters generated by the residues of the measure of integration. We test the method on two examples. First, we compute the asymptotic three-point function of heavy fields at any coupling and show the result in the semiclassical limit matches both the string theory computation at strong coupling and the tree-level results obtained before. Second, in the case of one non-BPS and two BPS operators at strong coupling we sum up all wrapping corrections associated with the opposite bridge to the non-trivial operator, or the "bottom" mirror channel. We also give an alternative interpretation of the results in terms of a gas of fermions and show that they can be expressed compactly as an operator-valued super-determinant.
Type de document :
Article dans une revue
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.454003. 〈10.1088/1751-8113/49/45/454003〉
Liste complète des métadonnées

Littérature citée [58 références]  Voir  Masquer  Télécharger
Contributeur : Emmanuelle De Laborderie <>
Soumis le : lundi 13 février 2017 - 14:35:49
Dernière modification le : jeudi 15 mars 2018 - 15:05:35
Document(s) archivé(s) le : dimanche 14 mai 2017 - 14:21:53


Fichiers produits par l'(les) auteur(s)



Yunfeng Jiang, Shota Komatsu, Ivan Kostov, Didina Serban. Clustering and the Three-Point Function. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.454003. 〈10.1088/1751-8113/49/45/454003〉. 〈cea-01466250〉



Consultations de la notice


Téléchargements de fichiers