Large-charge expansions in 3d CFTs

by Dr Nicola Dondi (ICTP)

Wednesday 2 Jul 2025, 14:30 → 16:30 Europe/Rome

1/1-2 - Aula "C. Voci" (Dipartimento di Fisica e Astronomia - Edificio Marzolo)

In this talk, I will present an overview of large-charge expansions in three-dimensional CFTs. The main idea is that correlation functions involving heavy operators carrying large quantum numbers under global symmetries can be computed using specific non-relativistic EFTs, similar to those employed in the study of dense condensed matter systems. This framework yields universal predictions for conformal data associated with such operators, with only a mild dependence on the specifics of the underlying CFT. The accuracy of these predictions is controlled by a series expansion in inverse powers of the operator charge, which also controls the cutoff scale of the EFTs. I will begin by reviewing key results from the literature and then highlight recent developments and future directions.