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

Bart Vlaar; Robert Weston

doi:10.1088/1751-8121/ab8854

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

Bart Vlaar, Robert Weston

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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 language	English
Article number	245205
Journal	Journal of Physics A: Mathematical and General
Volume	53
Issue number	24
Early online date	27 May 2020
DOIs	https://doi.org/10.1088/1751-8121/ab8854
Publication status	Published - 19 Jun 2020

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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AB - 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.

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

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Robert Andrew Weston

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

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Robert Andrew Weston

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