Conserved Currents at Infinite Distance in the Conformal Manifold

par Jose Calderon Infante (Cern)

jeudi 15 juin 2023, 11:00 → 13:00 Europe/Paris

Auditorium (LAPTh)

The first part of the CFT Distance Conjecture posits that all points in which there is a higher-spin symmetry enhancement are at infinite distance in the conformal manifold with respect to the Zadmolodchikov metric. Through the AdS/CFT correspondence, this proposal was initially motivated by the Swampland Distance Conjecture, one of the pillars of the Swampland Program. In this seminar, I will discuss how to prove this conjecture using conformal perturbation theory and weakly-broken higher-spin symmetry. Only assumptions of the conjecture are used, namely having a CFT in more than two dimensions with a conformal manifold and the presence of a local stress-energy tensor. For instance, no supersymmetry is required. If time permits, I will also discuss the case of flavor enhancement in the conformal manifold.

 

Joint AnLy seminar.