Spinning correlators in large-charge CFTs

TL;DR

This paper investigates three- and four-point correlators in large-charge conformal field theories with O(2) symmetry, analyzing excited states, loop corrections, and logarithmic behaviors across dimensions.

Contribution

It provides a systematic study of correlators involving conserved currents and excited states in large-charge CFTs, including loop corrections and logarithmic effects.

Findings

Correlators with conserved currents and excited states are characterized.

Loop corrections to scaling dimensions exhibit multiple logarithms in even dimensions.

The study advances understanding of large-charge sectors in conformal field theories.

Abstract

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 spinful excited states corresponding to phonons over the large-charge vacuum. We also discuss loop corrections to the scaling dimensions and observe multiple logarithms in even dimensions.