We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the theory are played by a particular infinite-dimensional solution of the reflection equation and by short exact sequences of intertwiners of the standard Borel subalgebras of Uq(sl2ˆ). The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.
|Number of pages||39|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Submitted - 29 Jan 2020|