From Baxter Q-Operators to Local Charges

Understand

We discuss how the shift operator and the Hamiltonian enter the hierarchy of Baxter Q-operators in the example of gl(n) homogeneous spin-chains.

• Building on the construction that was recently carried out by the authors and their collaborators, we find that a reduced set of Q-operators can be used to obtain local charges.
• The mechanism relies on projection properties of the corresponding R-operators on a highest/lowest weight state of the quantum space.
• It is intimately related to the ordering of the oscillators in the auxiliary space.