Large charge bootstrap with U(1) current probes

TL;DR

This paper extends the large-charge bootstrap framework to conformal field theories with U(1) symmetry by incorporating conserved current probes, revealing new constraints and classifying solutions.

Contribution

It introduces a novel bootstrap analysis including conserved currents, expanding beyond scalar probes and identifying new constraints and solution classes.

Findings

Current probes impose additional bootstrap constraints.

Solutions organize into a finite number of Regge trajectories.

Classification of bootstrap solutions with U(1) symmetry.

Abstract

We study the large-charge bootstrap for conformal field theories with a U(1) symmetry extending the analysis of scalar probes to include conserved currents. We formulate the bootstrap equations and analyze their solutions assuming the existence of a non-trivial macroscopic limit and that the spectrum organizes into a finite number of Regge trajectories. We show that current probes lead to additional bootstrap constraints that are absent in the purely scalar case, and we classify the resulting solutions.