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 The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.

Original languageEnglish
Article number245205
JournalJournal of Physics A: Mathematical and General
Volume53
Issue number24
Early online date27 May 2020
DOIs
Publication statusPublished - 19 Jun 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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