### Abstract

Original language | English |
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Number of pages | 39 |

Journal | Journal of Physics A: Mathematical and General |

Publication status | Submitted - 29 Jan 2020 |

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**A Q-Operator for Open Spin Chains I: Baxter's TQ Relations.** / Weston, Robert Andrew; Vlaar, Bart.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Q-Operator for Open Spin Chains I: Baxter's TQ Relations

AU - Weston, Robert Andrew

AU - Vlaar, Bart

PY - 2020/1/29

Y1 - 2020/1/29

N2 - 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.

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 Uq(sl2ˆ). The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.

M3 - Article

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

ER -