Speaker
Description
I will discuss the large-charge expansion of the conformal dimension Δ(Q) of the lowest operator of charge Q in nonrelativistic CFTs using the state-operator correspondence. The latter requires coupling the theory to an external harmonic trap that confines the particles to a spherical cloud, at the edge of which the effective theory breaks down and leads to divergences. I will show how to build the appropriate counterterms living at the edge of the cloud and discuss the resulting expansion for Δ(Q), which is significantly richer than its relativistic counterpart. In particular, there is a rich structure of log(Q) terms emerging from this analysis. On the other side of the correspondence, this also provides new corrections to the Thomas-Fermi approximation of the unitary Fermi gas, and I will comment on their relevance for ultracold atom physics.
