Q-systems with boundary parameters

Abstract

Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters.

19 pages; v2: references added, misprints corrected; v3: references and an appendix added, title slightly changed; v4: another appendix added, version to appear in JPhysA

References in corpus (1)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics

Cited by in corpus (10)

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• Wronskian-type formula for inhomogeneous TQ-equations
• Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry
• Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin
• Spectrum-preserving deformations of integrable spin chains with open boundaries
• Spin-$s$ $Q$-systems: Twist and Open Boundaries