Large Charge at large N

par Domenico Orlando (INFN Torino)

mercredi 25 mai 2022, 14:00 → 15:00 Europe/Paris

https://greenlight.virtualdata.cloud.math.cnrs.fr/b/fab-49u-gkt

The large charge approach allows to describe special sectors of
strongly-coupled systems.
When another controlling parameter is present, it is still useful
because it allows to unveil interesting mathematical structures and
access previously unexplored parts of the spectrum.
In this talk I will concentrate on the O(N) vector model in the large-N
limit, give a geometrical interpretation of the asymptotic expansion of
the dimension of the lowest operator of fixed charge, and use resurgence
to resum this expansion.
The result suggests an unexpected interplay between conformal symmetry
and resurgence and will lead to an intuitive interpretation for the
impressive agreement of the large-charge predictions with lattice data
also in the O(2) model case.
Based on 1610.04495, 2008.03308, 2102.12488.

Keywords: large charge, large N, vector model, Seeley-DeWitt,
resurgence, wordline, CFT.