A Q-operator for open spin chains I. Baxter's TQ relation

A Q-operator for open spin chains I. Baxter's TQ relation

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 seque...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-06, Vol.53 (24), p.245205
Hauptverfasser: Vlaar, Bart, Weston, Robert
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Sprache:eng
Schlagworte:
Baxter's
Baxter's TQ relation
fusion intertwiners
Heisenberg spin chain
open spin chain
operator
reflection equation
Yang-Baxter equation
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description 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 U q ( s l ̂ 2 ) . The resulting Bethe equations are the same as those arising from Sklyanin's algebraic Bethe ansatz.
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subjects Baxter's
Baxter's TQ relation
fusion intertwiners
Heisenberg spin chain
open spin chain
operator
reflection equation
Yang-Baxter equation
title A Q-operator for open spin chains I. Baxter's TQ relation
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