# Largecharge

## Introduction to the large charge expansion

I will present the large-charge construction for CFT with isolated vacua.

## Tame the beast: physics at strong coupling

Strong coupling cannot be avoided in the description of physical systems. I propose a definition based on the path integral formalism, quickly review some approaches for strongly-coupled systems and propose a notion of local strong coupling, where …

## A large charge to tame strong coupling

I will present the large-charge construction for CFT with isolated vacua and discuss its application to asymptotically safe theories and an effective model of walking dynamics.

## Near-Conformal Dynamics at Large Charge

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge spectrum of …

## Large charge at large N

We apply the large-charge expansion to O(N) vector models starting from first principles, focusing on the Wilson-Fisher point in three dimensions. We compute conformal dimensions at zero and finite temperature at fixed charge Q, concentrating on the …

## Large charge at large N

We apply the large-charge expansion to O(N) vector models starting from first principles. We focus on the Wilson–Fisher point in three dimensions. We compute conformal dimensions and energies on generic Riemann surfaces at zero and finite …

I will discuss some advanced applications of the large charge expansion for systems with special properties. I will show how to prove some of the general conjectures for the vector models in the limit of large N and show how to completely resum the …

We study the $O(4)$ Wilson--Fisher fixed point in $2+1$ dimensions in fixed large-charge sectors identified by products of two spin-$j$ representations $(j\_L,j\_R)$. Using effective field theory we derive a formula for the conformal dimensions …