Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 20 Janvier 2022
Heure 11:00
Institut IHP
Salle zoom
Nom de l'orateur Green
Prenom de l'orateur Michael
Addresse email de l'orateur
Institution de l'orateur
Titre A Novel Expression for an Integrated Correlator (in N = 4 supersymmetric Yang–Mills theory)
Résumé This talk will present the exact expression for an integrated correlator of four superconformal primary operators in the stress tensor multiplet of SU(N) N = 4 supersymmetric Yang-Mills, based on the localised partition function of the N = 2∗ theory. I will show that this integrated correlator can be expressed as a strikingly simple two-dimensional lattice sum. This is a function of the complex Yang–Mills coupling, and is manifestly invariant under SL(2, Z) (Montonen–Olive) duality. The correlator satisfies a powerful Laplace equation that relates its value for SU(N) to its value for SU(N−1) and SU(N+1). For finite N the correlator reproduces and extends perturbative and non-perturbative N = 4 SYM results. The large-N expansion is holographically related to the SL(2, Z)-invariant low energy expansion of the type IIB superstring four-graviton amplitude in AdS5 × S5. The talk will also describe the extension of of these results to n-point correlators with n > 4 that violate the U(1) bonus symmetry maximally.
Numéro de preprint arXiv
Commentaires Meeting ID: 975 0712 4810 Passcode: 1234
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