Wronskian-type formula for inhomogeneous TQ-equations

Abstract

The transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with non-diagonal boundary magnetic fields are known to satisfy a TQ-equation with an inhomogeneous term. We derive here a discrete Wronskian-type formula relating a solution of this inhomogeneous TQ-equation to the corresponding solution of a dual inhomogeneous TQ-equation.

6 pages; to appear in Theor. Math. Phys. as part of the Proceedings of the CQIS-2019 workshop in St. Petersburg

References in corpus (3)

• On Generalized $Q$-systems
• On zero-remainder conditions in the Bethe ansatz
• Q-systems with boundary parameters

Cited by in corpus (2)

• Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry
• Tau functions of the UC hierarchy as partition functions of matrix models