  In this article we unveil a new structure in the space of operators of the
XXZ chain. We consider the space of all quasi-local operators, which are
products of the disorder field with arbitrary local operators. In analogy with
CFT the disorder operator itself is considered as primary field. In our
previous paper, we have introduced the annhilation operators which mutually
anti-commute and kill the primary field. Here we construct the creation
counterpart and prove the canonical anti-commutation relations with the
annihilation operators. We show that the ground state averages of quasi-local
operators created by the creation operators from the primary field are given by
determinants.
