Speaker
Description
In this talk I will review the general semiclassical method of computation of strongly coupled CFT data for operators of large charge Q,
and its application to strongly-coupled bosonic and supersymmetric theories. I will particularly emphasize the use of
double-scaling limits to interpolate continuously between field-theoretic weak-coupling perturbation theory and large-charge EFT,
when a theory-dependent weak-coupling parameter is available. I will then discuss more recent results applying the same
methods to fermionic CFT, including an analysis of a special case (the O(2N) x O(2N)-symmetric Gross-Neveu model) whose large-charge regime is controlled by
Landau Fermi-liquid theory. I will then extend the picture by showing (based on work in progress with Bersini, Orlando and Reffert)
that this theory has a third regime at ultra-large charge described by a novel nonabelian
superfluid phase. I will explain the transition to this phase via the BCS mechanism which is controlled quantitatively by
a second double-scaling limit of Q taken to infinity with Q \exp{-N} held fixed.
