Non-local conserved charges from defects in perturbed conformal field theory

TL;DR

This paper constructs an infinite set of commuting conserved charges in perturbed conformal field theory using defects, extending previous methods and revealing new algebraic relations.

Contribution

It introduces a novel approach to generating conserved charges via perturbed defects, modifying the Bazhanov-Lukyanov-Zamolodchikov framework.

Findings

Conserved charges mutually commute

Charges commute with the Hamiltonian

Charges satisfy a T-system relation

Abstract

Perturbing a Virasoro minimal model by the (1,3) primary bulk field results in an integrable field theory. In this paper, an infinite set of commuting conserved charges is obtained by considering defects: a one-parameter family of perturbed defect operators is given, and it is shown that these operators mutually commute, that they commute with the Hamiltonian of the perturbed CFT, and that they satisfy a T-system functional relation. The formulation in terms of perturbed defects is a modification of the original prescription for such charges by Bazhanov, Lukyanov and Zamolodchikov.