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.

arXiv comment19 pages; v2: references added, misprints corrected; v3: references and an appendix added, title slightly changed; v4: another appendix added, version to appear in JPhysA

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Cited by in corpus (10)

• Rational $Q$-systems, Higgsing and Mirror Symmetry
• Universal Baxter TQ-relations for open boundary quantum integrable systems
• Spin-$s$ Rational $Q$-system
• The $A_m^{(1)}$ Q-system
• Rational Q-systems at Root of Unity I. Closed Chains
• 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