Integrability of large-charge sectors in generic 2D EFTs

Abstract

Abstract It is shown that integrability is an accidental property of generic two-dimensional O(2)-symmetric asymptotically-free theories in the regime where the charge density is much larger than the dynamical scale. We show this by constructing an infinite tower of higher-spin conserved currents in the most generic effective Lagrangian at large chemical potential to all orders in perturbative expansion in the renormalization-group invariant coupling constant.

Keywords

• Field Theories in Lower Dimensions
• Global Symmetries
• Integrable Field Theories