Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 12 Avril 2018
Heure 14:00
Institut LPTENS
Salle LPTENS library
Nom de l'orateur Stergiou
Prenom de l'orateur Andy
Addresse email de l'orateur
Institution de l'orateur CERN, IHES
Titre Bootstrap constraints in 3d CFTs with hypercubic and hypertetrahedral symmetry
Résumé There are three generalizations of the Platonic solids that exist in all dimensions, namely the hypertetrahedron, the hypercube, and the hyperoctahedron, with the latter two being dual. In this talk I will describe constraints obtained using the non-perturbative conformal bootstrap in theories with hypercubic and hypertetrahedral symmetry in d=3 spacetime dimensions. Comparisons will be drawn with previous perturbative studies of these theories, performed using the \epsilon=4-d expansion starting from Lagrangians involving N scalar fields. The N=3 cubic theory is relevant for statistical physics, particularly cubic magnets at criticality and structural phase transitions. The old question of whether cubic magnets, like Fe or Ni, are described at criticality by the Heisenberg or cubic universality class will be extensively discussed. For the hypertetrahedral theory evidence will be presented of a non-conformal window in N, as suggested in perturbation theory by the \epsilon expansion. (Based on arXiv:1801.07127.)
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