# Nonrelativistic conformal field theories in the large charge sector

@article{Kravec2018NonrelativisticCF, title={Nonrelativistic conformal field theories in the large charge sector}, author={Shauna Kravec and Sridip Pal}, journal={Journal of High Energy Physics}, year={2018}, volume={2019}, pages={1-24} }

A bstractWe study Schrödinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated U(1) symmetry in a harmonic potential. This EFT can be studied semi-classically in a large charge expansion. We calculate the dimensions of the lowest lying operators, as well as correlation functions of charged operators. We find universal behavior of…

## 25 Citations

### The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe study operators in Schrödinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator…

### Operator spectrum of nonrelativistic CFTs at large charge

- PhysicsPhysical Review D
- 2022

We extend and clarify the large-charge expansion of the conformal dimension ∆ Q of the lowest operator of charge Q in nonrelativistic conformal ﬁeld theories using the state-operator correspondence.…

### Large charge, semiclassics and superfluids :from broken symmetries to conformal field theories

- Physics
- 2020

This thesis explores the application of semiclassical methods in the study of states with large quantum numbers for theories invariant under internal symmetries. In the first part of the thesis, we…

### Large Charge Sector of 3d Parity-Violating CFTs

- Physics
- 2021

Certain CFTs with a global U(1) symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the…

### The large-charge expansion for Schrödinger systems

- PhysicsJournal of High Energy Physics
- 2018

A bstractIn this note, we perform the large-charge expansion for non-relativistic systems with a global U(1) symmetry in 3 + 1 and 2 + 1 space-time dimensions, motivated by applications to the…

### Near-Schrödinger dynamics at large charge

- PhysicsPhysical Review D
- 2021

In this paper we discuss a nonrelativistic system at large charge in a regime where Schrodinger symmetry is slightly broken by an explicit mass term for the dilaton field which nonlinearly realizes…

### Droplet-Edge Operators in Nonrelativistic Conformal Field Theories.

- Physics
- 2020

We consider the large-charge expansion of the charged ground state of a Schrodinger-invariant, nonrelativistic conformal field theory in a harmonic trap, in general dimension d. In the existing…

### Chern-Simons-matter theories at large baryon number

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We study SU(2) Chern-Simons theories at level k coupled to a scalar on T2 × ℝ at large baryon number. We find a homogeneous but anisotropic ground state configuration for any values of k on…

### Fermionic CFTs at large charge and large N

- Physics
- 2022

We study the large-charge sector of large- N fermionic cfts in three dimensions. Depending on the model and the nature of the ﬁxed charge, we ﬁnd two types of descriptions: in terms of a superﬂuid or…

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