Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain

TL;DR

This paper constructs a new family of quasilocal conserved operators for the isotropic Heisenberg spin 1/2 chain, expanding the understanding of its conserved quantities beyond local charges.

Contribution

It introduces a novel set of quasilocal conserved operators derived from higher auxiliary-spin transfer matrices, distinct from known local conserved charges.

Findings

Constructed quasilocal conserved operators explicitly.

Proved linear independence from local conserved charges.

Enhanced the understanding of integrability in the Heisenberg chain.

Abstract

Composing higher auxiliary-spin transfer matrices and their derivatives, we construct a family of quasilocal conserved operators of isotropic Heisenberg spin 1/2 chain and rigorously establish their linear independence from the well-known set of local conserved charges.