Quasilocal conservation laws from semicyclic irreducible representations of $U_q({\mathfrak{sl}}_2)$ in $XXZ$ spin-$1/2$ chains

Lenart Zadnik, Marko Medenjak, Tomaz Prosen

We construct quasilocal conserved charges in the gapless ($|\Delta |\le 1$) regime of the Heisenberg $XXZ$ spin-$1/2$ chain, using semicyclic irreducible representations of $U_q(\mathfr…