A Q-Operator for Open Spin Chains I: Baxter's TQ Relations

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Abstract

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.
Original languageEnglish
Number of pages39
JournalJournal of Physics A: Mathematical and General
Publication statusSubmitted - 29 Jan 2020

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