Large charge bootstrap with U(1) current probes

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.

arXiv comment28 + 26 pages