Large Charge

N=2 SUSY at large R-charge

I will discuss the behavior of N=2 supersymmetric theories in the large R-charge limit. Writing an effective action on moduli space, we obtain the large-charge limit of the three-point coefficients for chiral operators. The result can be extended to …

Spinning correlators in large-charge CFTs

We systematically study correlators of a generic conformal field theory with a global O(2) symmetry in a sector of large global charge. We focus in particular on three- and four-point correlators with conserved current insertions sandwiched between …

2D CFTs - Large Charge is not enough

In this note we study two-dimensional CFTs at large global charge. Since the large-charge sector decouples from the dynamics, it does not control the dynamics and an EFT construction that works in higher-dimensional theories fails. It is however …

Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements

The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFT can be held to experimental verification. Here, we examine the structure of …

Vector models at large charge (and some supersymmetry)

I will discuss the IR fixed point of the O(N) vector model in 3 dimensions (Wilson-Fisher point) in the framework of the large charge expansion. First I will construct an EFT valid for any N, then verify the prediction of the model in the double …

Convexity, large charge and the large-N phase diagram of the φ⁴ theory

In this note we discuss the phase space of the O(2N) vector model in the presence of a quadratic and a quartic interaction by writing the large-N effective potential using large charge methods in dimensions 2

Following the flow for large N and large charge

We discuss the O(2N) vector model in three dimensions. While this model flows to the Wilson-Fisher fixed point when fine tuned, working in a double-scaling limit of large N and large charge allows us to study the model away from the critical point …

The large N effective potential from large charge

Working in sectors of large global charge leads to important simplifications when studying strongly coupled CFTs. After an introduction to the method I will show how the large-charge expansion can be used to compute the large-N effective potential …

Introduction to the large charge expansion

Working in sectors of large global charge leads to important simplifications when studying strongly coupled CFTs. In this talk I will introduce the large-charge expansion via the simple example of the O(2) model and apply it in a number of other …

The O(N) vector model at large charge: EFT, large N and resurgence

I will discuss the IR fixed point of the O(N) vector model in 3 dimensions (Wilson-Fisher point) in the framework of the large charge expansion. First I will construct an EFT valid for any N, then verify the prediction of the model in the double …