Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 16 Juin 2022 
Heure  10:00 
Institut  IHP 
Salle  314 
Nom de l'orateur  Lawrie 
Prenom de l'orateur  Craig 
Addresse email de l'orateur  
Institution de l'orateur  DESY 
Titre  What can we learn from SCFTs with a=c? 
Résumé  I will explore a special subset of the 4d SCFT landscape, with N=1 and N=2 supersymmetry and identical central charges: a = c, without any large N limit. Such SCFTs are obtained via N=1 or N=2 diagonal gauging of collections of nonLagrangian ArgyresDouglas and conformal matter theories and I will discuss the classification problem for consistent gaugings with interacting infrared SCFTs in both cases. For N=2 the classification is in terms of an ADE Dynkin diagram. Moreover, we find that the Schur indices for such theories can be written in terms of that of N=4 superYangMills theory upon rescaling fugacities. In particular, we find that the Schur index of the $\widehat{D}_4(SU(N))$ theory for N odd is written in terms of MacMahon's generalized sumofdivisor function, which is quasimodular. Some such theories have a genus zero class S description, however their Higgs branch Hilbert series and HallLittlewood indices are different, providing a counterexample to a longproposed conjecture. We find such examples are ubiquitous when there are at least four twisted punctures. We verify this distinction via multiple independent computations, including the study of the 3d mirrors of the class S theories. I will introduce each of these concepts and explain how they can be used to study the landscape of SCFTs and their features. 
Numéro de preprint arXiv  2111.12092 
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 